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Let $x$ be the number of soldiers who left the fort.

Number of soldiers | $1200$ | $1200−x$ |

Number of days for which food lasts | $24$ | $32$ |

$⇒$ $1200×24=(1200−x)×32$

$⇒$ $321200×24 =1200−x$

$⇒$ $900=1200−x$

$⇒$ $x=1200−900$

$⇒$ $x=300$

$∴$ The soldiers which left the fort are $300$.

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