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Finding the Fourth Proportional to 10,142.67, 15,189.17 and 8,376.87

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Solution

The fourth proportional to 10,142.67, 15,189.17 and 8,376.87 is: 12,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.67 : 15,189.17 = 8,376.87 : x
  2. Step 2: Convert to fraction form
    10,142.67/15,189.17 = 8,376.87/x
  3. Step 3: Cross multiply
    10,142.67x = 15,189.17 × 8,376.87
  4. Step 4: Simplify right side
    10,142.67x = 127,237,660.61
  5. Step 5: Solve for x
    x = 127,237,660.61/10,142.67
  6. Step 6: Final answer
    x = 12,544.79

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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.