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Finding the Fourth Proportional to 13,589.88, 20,385.21 and 3,729.24

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Solution

The fourth proportional to 13,589.88, 20,385.21 and 3,729.24 is: 5,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.88 : 20,385.21 = 3,729.24 : x
  2. Step 2: Convert to fraction form
    13,589.88/20,385.21 = 3,729.24/x
  3. Step 3: Cross multiply
    13,589.88x = 20,385.21 × 3,729.24
  4. Step 4: Simplify right side
    13,589.88x = 76,021,340.54
  5. Step 5: Solve for x
    x = 76,021,340.54/13,589.88
  6. Step 6: Final answer
    x = 5,593.97

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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.