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Finding the Fourth Proportional to 13,404.97, 20,086.95 and 7,165.87

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Solution

The fourth proportional to 13,404.97, 20,086.95 and 7,165.87 is: 10,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.97 : 20,086.95 = 7,165.87 : x
  2. Step 2: Convert to fraction form
    13,404.97/20,086.95 = 7,165.87/x
  3. Step 3: Cross multiply
    13,404.97x = 20,086.95 × 7,165.87
  4. Step 4: Simplify right side
    13,404.97x = 143,940,336.13
  5. Step 5: Solve for x
    x = 143,940,336.13/13,404.97
  6. Step 6: Final answer
    x = 10,737.84

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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.