Question 25
In the diagram below, $CD$ is a median of triangle $ABC$. Points $E$ and $F$ lie on $AC$ and $BC$ respectively. If $EF$ intersects $CD$ at $G$ and $\frac{CA}{CE}+\frac{CB}{CF}=k\frac{CD}{CG}$, where $k$ is a rational number, find the value of $12k$.
