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Finding the Fourth Proportional to 24,432, 36,585.98 and 20,472.84

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Solution

The fourth proportional to 24,432, 36,585.98 and 20,472.84 is: 30,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432 : 36,585.98 = 20,472.84 : x
  2. Step 2: Convert to fraction form
    24,432/36,585.98 = 20,472.84/x
  3. Step 3: Cross multiply
    24,432x = 36,585.98 × 20,472.84
  4. Step 4: Simplify right side
    24,432x = 749,018,812.42
  5. Step 5: Solve for x
    x = 749,018,812.42/24,432
  6. Step 6: Final answer
    x = 30,657.29

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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.