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Finding the Fourth Proportional to 22,531.26, 33,796.90 and 6,115.26

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Solution

The fourth proportional to 22,531.26, 33,796.90 and 6,115.26 is: 9,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.26 : 33,796.90 = 6,115.26 : x
  2. Step 2: Convert to fraction form
    22,531.26/33,796.90 = 6,115.26/x
  3. Step 3: Cross multiply
    22,531.26x = 33,796.90 × 6,115.26
  4. Step 4: Simplify right side
    22,531.26x = 206,676,830.69
  5. Step 5: Solve for x
    x = 206,676,830.69/22,531.26
  6. Step 6: Final answer
    x = 9,172.89

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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.