A transistor is used in an amplifier circuit in common emitter mode. If the base current changes by $100 \mu \mathrm{~A}$, it brings a change of 10 mA in collector current. If the load resistance is $2 \mathrm{k} \Omega$ and input resistance is $1 \mathrm{k} \Omega$, the value of power gain is $x \times 10^4$. The value of $x$ is $\_\_\_\_$ .
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