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Finding the Fourth Proportional to 22,951.20, 31,664.88 and 14,572.56

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Solution

The fourth proportional to 22,951.20, 31,664.88 and 14,572.56 is: 20,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.20 : 31,664.88 = 14,572.56 : x
  2. Step 2: Convert to fraction form
    22,951.20/31,664.88 = 14,572.56/x
  3. Step 3: Cross multiply
    22,951.20x = 31,664.88 × 14,572.56
  4. Step 4: Simplify right side
    22,951.20x = 461,438,363.69
  5. Step 5: Solve for x
    x = 461,438,363.69/22,951.20
  6. Step 6: Final answer
    x = 20,105.20

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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.