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Finding the Fourth Proportional to 22,427.35, 33,640.85 and 5,785.97

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Solution

The fourth proportional to 22,427.35, 33,640.85 and 5,785.97 is: 8,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.35 : 33,640.85 = 5,785.97 : x
  2. Step 2: Convert to fraction form
    22,427.35/33,640.85 = 5,785.97/x
  3. Step 3: Cross multiply
    22,427.35x = 33,640.85 × 5,785.97
  4. Step 4: Simplify right side
    22,427.35x = 194,644,795.14
  5. Step 5: Solve for x
    x = 194,644,795.14/22,427.35
  6. Step 6: Final answer
    x = 8,678.90

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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.