1. Start with the original number: 10,368.
2. Calculate 24% of 10,368: 10,368 \times 0.24 = 2,488.32.
3. Add the result to the original number: 10,368 + 2,488.32 = 12,856.32.
Therefore, the number that is 24% more than 10,368 is 12,856.32.
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