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Finding the Fourth Proportional to 12,432.67, 18,652.32 and 5,414.18

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Solution

The fourth proportional to 12,432.67, 18,652.32 and 5,414.18 is: 8,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.67 : 18,652.32 = 5,414.18 : x
  2. Step 2: Convert to fraction form
    12,432.67/18,652.32 = 5,414.18/x
  3. Step 3: Cross multiply
    12,432.67x = 18,652.32 × 5,414.18
  4. Step 4: Simplify right side
    12,432.67x = 100,987,017.90
  5. Step 5: Solve for x
    x = 100,987,017.90/12,432.67
  6. Step 6: Final answer
    x = 8,122.71

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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.