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Finding the Fourth Proportional to 13,591.26, 20,385.90 and 6,097.14

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Solution

The fourth proportional to 13,591.26, 20,385.90 and 6,097.14 is: 9,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.26 : 20,385.90 = 6,097.14 : x
  2. Step 2: Convert to fraction form
    13,591.26/20,385.90 = 6,097.14/x
  3. Step 3: Cross multiply
    13,591.26x = 20,385.90 × 6,097.14
  4. Step 4: Simplify right side
    13,591.26x = 124,295,686.33
  5. Step 5: Solve for x
    x = 124,295,686.33/13,591.26
  6. Step 6: Final answer
    x = 9,145.27

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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.