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Finding the Fourth Proportional to 12,452.40, 18,678.60 and 9,171.90

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Solution

The fourth proportional to 12,452.40, 18,678.60 and 9,171.90 is: 13,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.40 : 18,678.60 = 9,171.90 : x
  2. Step 2: Convert to fraction form
    12,452.40/18,678.60 = 9,171.90/x
  3. Step 3: Cross multiply
    12,452.40x = 18,678.60 × 9,171.90
  4. Step 4: Simplify right side
    12,452.40x = 171,318,251.34
  5. Step 5: Solve for x
    x = 171,318,251.34/12,452.40
  6. Step 6: Final answer
    x = 13,757.85

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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.