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Finding the Fourth Proportional to 12,614.74, 17,402.48 and 8,139.91

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Solution

The fourth proportional to 12,614.74, 17,402.48 and 8,139.91 is: 11,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.74 : 17,402.48 = 8,139.91 : x
  2. Step 2: Convert to fraction form
    12,614.74/17,402.48 = 8,139.91/x
  3. Step 3: Cross multiply
    12,614.74x = 17,402.48 × 8,139.91
  4. Step 4: Simplify right side
    12,614.74x = 141,654,620.98
  5. Step 5: Solve for x
    x = 141,654,620.98/12,614.74
  6. Step 6: Final answer
    x = 11,229.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.