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Finding the Fourth Proportional to 22,241.38, 33,376.65 and 8,201.65

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Solution

The fourth proportional to 22,241.38, 33,376.65 and 8,201.65 is: 12,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.38 : 33,376.65 = 8,201.65 : x
  2. Step 2: Convert to fraction form
    22,241.38/33,376.65 = 8,201.65/x
  3. Step 3: Cross multiply
    22,241.38x = 33,376.65 × 8,201.65
  4. Step 4: Simplify right side
    22,241.38x = 273,743,487.27
  5. Step 5: Solve for x
    x = 273,743,487.27/22,241.38
  6. Step 6: Final answer
    x = 12,307.85

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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.