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Finding the Fourth Proportional to 13,404.38, 20,107.68 and 5,084.38

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Solution

The fourth proportional to 13,404.38, 20,107.68 and 5,084.38 is: 7,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.38 : 20,107.68 = 5,084.38 : x
  2. Step 2: Convert to fraction form
    13,404.38/20,107.68 = 5,084.38/x
  3. Step 3: Cross multiply
    13,404.38x = 20,107.68 × 5,084.38
  4. Step 4: Simplify right side
    13,404.38x = 102,235,086.04
  5. Step 5: Solve for x
    x = 102,235,086.04/13,404.38
  6. Step 6: Final answer
    x = 7,626.99

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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.