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Finding the Fourth Proportional to 22,164.78, 33,257.97 and 9,026.22

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Solution

The fourth proportional to 22,164.78, 33,257.97 and 9,026.22 is: 13,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.78 : 33,257.97 = 9,026.22 : x
  2. Step 2: Convert to fraction form
    22,164.78/33,257.97 = 9,026.22/x
  3. Step 3: Cross multiply
    22,164.78x = 33,257.97 × 9,026.22
  4. Step 4: Simplify right side
    22,164.78x = 300,193,753.97
  5. Step 5: Solve for x
    x = 300,193,753.97/22,164.78
  6. Step 6: Final answer
    x = 13,543.73

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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.