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Finding the Fourth Proportional to 22,177.64, 33,265.82 and 5,761.64

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Solution

The fourth proportional to 22,177.64, 33,265.82 and 5,761.64 is: 8,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.64 : 33,265.82 = 5,761.64 : x
  2. Step 2: Convert to fraction form
    22,177.64/33,265.82 = 5,761.64/x
  3. Step 3: Cross multiply
    22,177.64x = 33,265.82 × 5,761.64
  4. Step 4: Simplify right side
    22,177.64x = 191,665,679.14
  5. Step 5: Solve for x
    x = 191,665,679.14/22,177.64
  6. Step 6: Final answer
    x = 8,642.29

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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.