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Finding the Fourth Proportional to 22,654.92, 33,982.38 and 7,867.56

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Solution

The fourth proportional to 22,654.92, 33,982.38 and 7,867.56 is: 11,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.92 : 33,982.38 = 7,867.56 : x
  2. Step 2: Convert to fraction form
    22,654.92/33,982.38 = 7,867.56/x
  3. Step 3: Cross multiply
    22,654.92x = 33,982.38 × 7,867.56
  4. Step 4: Simplify right side
    22,654.92x = 267,358,413.59
  5. Step 5: Solve for x
    x = 267,358,413.59/22,654.92
  6. Step 6: Final answer
    x = 11,801.34

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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.