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Finding the Fourth Proportional to 14,864.31, 20,512.17 and 8,149.41

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Solution

The fourth proportional to 14,864.31, 20,512.17 and 8,149.41 is: 11,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.31 : 20,512.17 = 8,149.41 : x
  2. Step 2: Convert to fraction form
    14,864.31/20,512.17 = 8,149.41/x
  3. Step 3: Cross multiply
    14,864.31x = 20,512.17 × 8,149.41
  4. Step 4: Simplify right side
    14,864.31x = 167,162,083.32
  5. Step 5: Solve for x
    x = 167,162,083.32/14,864.31
  6. Step 6: Final answer
    x = 11,245.87

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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.