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Finding the Fourth Proportional to 13,437.96, 20,148.30 and 6,414.18

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Solution

The fourth proportional to 13,437.96, 20,148.30 and 6,414.18 is: 9,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.96 : 20,148.30 = 6,414.18 : x
  2. Step 2: Convert to fraction form
    13,437.96/20,148.30 = 6,414.18/x
  3. Step 3: Cross multiply
    13,437.96x = 20,148.30 × 6,414.18
  4. Step 4: Simplify right side
    13,437.96x = 129,234,822.89
  5. Step 5: Solve for x
    x = 129,234,822.89/13,437.96
  6. Step 6: Final answer
    x = 9,617.15

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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.