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Finding the Fourth Proportional to 13,591.10, 20,385.88 and 3,729.66

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Solution

The fourth proportional to 13,591.10, 20,385.88 and 3,729.66 is: 5,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.10 : 20,385.88 = 3,729.66 : x
  2. Step 2: Convert to fraction form
    13,591.10/20,385.88 = 3,729.66/x
  3. Step 3: Cross multiply
    13,591.10x = 20,385.88 × 3,729.66
  4. Step 4: Simplify right side
    13,591.10x = 76,032,401.20
  5. Step 5: Solve for x
    x = 76,032,401.20/13,591.10
  6. Step 6: Final answer
    x = 5,594.28

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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.