Question 21A triangle with angles $A,B,C$ satisfies $\dfrac{\sin A+\sin B+\sin C}{\cos A+\cos B+\cos C}=12/7$ and $\sin A\sin B\sin C=12/25$. Given that $\sin C$ has three possible values $s_1,s_2,s_3$, find $100s_1s_2s_3$.