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Finding the Fourth Proportional to 15,839.68, 23,761.96 and 5,449

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Solution

The fourth proportional to 15,839.68, 23,761.96 and 5,449 is: 8,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.68 : 23,761.96 = 5,449 : x
  2. Step 2: Convert to fraction form
    15,839.68/23,761.96 = 5,449/x
  3. Step 3: Cross multiply
    15,839.68x = 23,761.96 × 5,449
  4. Step 4: Simplify right side
    15,839.68x = 129,478,920.04
  5. Step 5: Solve for x
    x = 129,478,920.04/15,839.68
  6. Step 6: Final answer
    x = 8,174.34

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