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Finding the Fourth Proportional to 13,590.27, 20,385.42 and 3,729.62

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Solution

The fourth proportional to 13,590.27, 20,385.42 and 3,729.62 is: 5,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.27 : 20,385.42 = 3,729.62 : x
  2. Step 2: Convert to fraction form
    13,590.27/20,385.42 = 3,729.62/x
  3. Step 3: Cross multiply
    13,590.27x = 20,385.42 × 3,729.62
  4. Step 4: Simplify right side
    13,590.27x = 76,029,907.12
  5. Step 5: Solve for x
    x = 76,029,907.12/13,590.27
  6. Step 6: Final answer
    x = 5,594.44

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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.