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Finding the Fourth Proportional to 22,204.25, 33,319.52 and 8,174.14

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Solution

The fourth proportional to 22,204.25, 33,319.52 and 8,174.14 is: 12,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.25 : 33,319.52 = 8,174.14 : x
  2. Step 2: Convert to fraction form
    22,204.25/33,319.52 = 8,174.14/x
  3. Step 3: Cross multiply
    22,204.25x = 33,319.52 × 8,174.14
  4. Step 4: Simplify right side
    22,204.25x = 272,358,213.74
  5. Step 5: Solve for x
    x = 272,358,213.74/22,204.25
  6. Step 6: Final answer
    x = 12,266.04

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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.