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Finding the Fourth Proportional to 29,711.70, 41,002.09 and 16,282.96

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Solution

The fourth proportional to 29,711.70, 41,002.09 and 16,282.96 is: 22,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.70 : 41,002.09 = 16,282.96 : x
  2. Step 2: Convert to fraction form
    29,711.70/41,002.09 = 16,282.96/x
  3. Step 3: Cross multiply
    29,711.70x = 41,002.09 × 16,282.96
  4. Step 4: Simplify right side
    29,711.70x = 667,635,248.17
  5. Step 5: Solve for x
    x = 667,635,248.17/29,711.70
  6. Step 6: Final answer
    x = 22,470.45

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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.