In exercising the above-mentioned powers the Board may, in conformity with the provisions of the law, reverse or affirm, wholly or partly or may modify the order, requirement, decision or determination appealed from and may make such order, requirement, decision or determination as, in its opinion, ought to be made, and to that end shall have all the powers of the Building Commissioner. The concurring vote of four (4) members of the Board shall be necessary to reverse any order, requirement, decision or determination of the Building Commissioner or to decide in favor of the applicant on any matter upon which it is required to pass under the Zoning Ordinance, or to effect any variation in the Zoning Ordinance. Any person or persons, any neighborhood organization as defined in Section 32.105, RSMo., representing such person or persons, jointly or severally aggrieved by any decision of the Board of Adjustment may present to the Circuit Court of the County of St. Louis a petition duly verified, setting forth that such decision is illegal, in whole or in part, and specifying the ground of illegality. Such petition shall be presented to the court within thirty (30) days after the filing of the decision in the office of the Board.