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Finding the Fourth Proportional to 22,456.80, 33,691.14 and 7,665.70

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Solution

The fourth proportional to 22,456.80, 33,691.14 and 7,665.70 is: 11,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.80 : 33,691.14 = 7,665.70 : x
  2. Step 2: Convert to fraction form
    22,456.80/33,691.14 = 7,665.70/x
  3. Step 3: Cross multiply
    22,456.80x = 33,691.14 × 7,665.70
  4. Step 4: Simplify right side
    22,456.80x = 258,266,171.90
  5. Step 5: Solve for x
    x = 258,266,171.90/22,456.80
  6. Step 6: Final answer
    x = 11,500.58

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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.