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Finding the Fourth Proportional to 17,856.57, 24,641.12 and 10,302.46

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Solution

The fourth proportional to 17,856.57, 24,641.12 and 10,302.46 is: 14,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.57 : 24,641.12 = 10,302.46 : x
  2. Step 2: Convert to fraction form
    17,856.57/24,641.12 = 10,302.46/x
  3. Step 3: Cross multiply
    17,856.57x = 24,641.12 × 10,302.46
  4. Step 4: Simplify right side
    17,856.57x = 253,864,153.16
  5. Step 5: Solve for x
    x = 253,864,153.16/17,856.57
  6. Step 6: Final answer
    x = 14,216.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.