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Finding the Fourth Proportional to 20,793.16, 31,171.24 and 7,642.46

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Solution

The fourth proportional to 20,793.16, 31,171.24 and 7,642.46 is: 11,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.16 : 31,171.24 = 7,642.46 : x
  2. Step 2: Convert to fraction form
    20,793.16/31,171.24 = 7,642.46/x
  3. Step 3: Cross multiply
    20,793.16x = 31,171.24 × 7,642.46
  4. Step 4: Simplify right side
    20,793.16x = 238,224,954.85
  5. Step 5: Solve for x
    x = 238,224,954.85/20,793.16
  6. Step 6: Final answer
    x = 11,456.89

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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.