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Finding the Fourth Proportional to 20,939.72, 31,397.43 and 8,449.52

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Solution

The fourth proportional to 20,939.72, 31,397.43 and 8,449.52 is: 12,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,939.72 : 31,397.43 = 8,449.52 : x
  2. Step 2: Convert to fraction form
    20,939.72/31,397.43 = 8,449.52/x
  3. Step 3: Cross multiply
    20,939.72x = 31,397.43 × 8,449.52
  4. Step 4: Simplify right side
    20,939.72x = 265,293,212.73
  5. Step 5: Solve for x
    x = 265,293,212.73/20,939.72
  6. Step 6: Final answer
    x = 12,669.38

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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.