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Finding the Fourth Proportional to 20,673.92, 31,010.52 and 5,882.96

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Solution

The fourth proportional to 20,673.92, 31,010.52 and 5,882.96 is: 8,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.92 : 31,010.52 = 5,882.96 : x
  2. Step 2: Convert to fraction form
    20,673.92/31,010.52 = 5,882.96/x
  3. Step 3: Cross multiply
    20,673.92x = 31,010.52 × 5,882.96
  4. Step 4: Simplify right side
    20,673.92x = 182,433,648.74
  5. Step 5: Solve for x
    x = 182,433,648.74/20,673.92
  6. Step 6: Final answer
    x = 8,824.34

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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.