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Finding the Fourth Proportional to 13,438.46, 20,149.05 and 6,414.68

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Solution

The fourth proportional to 13,438.46, 20,149.05 and 6,414.68 is: 9,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.46 : 20,149.05 = 6,414.68 : x
  2. Step 2: Convert to fraction form
    13,438.46/20,149.05 = 6,414.68/x
  3. Step 3: Cross multiply
    13,438.46x = 20,149.05 × 6,414.68
  4. Step 4: Simplify right side
    13,438.46x = 129,249,708.05
  5. Step 5: Solve for x
    x = 129,249,708.05/13,438.46
  6. Step 6: Final answer
    x = 9,617.90

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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.