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Finding the Fourth Proportional to 24,802.29, 34,227.45 and 13,471.92

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Solution

The fourth proportional to 24,802.29, 34,227.45 and 13,471.92 is: 18,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.29 : 34,227.45 = 13,471.92 : x
  2. Step 2: Convert to fraction form
    24,802.29/34,227.45 = 13,471.92/x
  3. Step 3: Cross multiply
    24,802.29x = 34,227.45 × 13,471.92
  4. Step 4: Simplify right side
    24,802.29x = 461,109,468.20
  5. Step 5: Solve for x
    x = 461,109,468.20/24,802.29
  6. Step 6: Final answer
    x = 18,591.41

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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.