Let \({x}_{1},{x}_{2},{x}_{3},{x}_{4}\) be in a geometric progression. If \(2,7,9,5\) are subtracted respectively from \…

Let \({x}_{1},{x}_{2},{x}_{3},{x}_{4}\) be in a geometric progression. If \(2,7,9,5\) are subtracted respectively from \({x}_{1},{x}_{2},{x}_{3},{x}_{4}\) then the resulting numbers are in an arithmetic progression. Then the value of \(\frac{1}{24}\left({x}_{1},{x}_{2},{x}_{3},{x}_{4}\right)\) is :

[JEE Main 2025, 7 Apr (Shift 1)]