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Finding the Fourth Proportional to 24,502.50, 36,737.96 and 10,471.68

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Solution

The fourth proportional to 24,502.50, 36,737.96 and 10,471.68 is: 15,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.50 : 36,737.96 = 10,471.68 : x
  2. Step 2: Convert to fraction form
    24,502.50/36,737.96 = 10,471.68/x
  3. Step 3: Cross multiply
    24,502.50x = 36,737.96 × 10,471.68
  4. Step 4: Simplify right side
    24,502.50x = 384,708,108.61
  5. Step 5: Solve for x
    x = 384,708,108.61/24,502.50
  6. Step 6: Final answer
    x = 15,700.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.