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Finding the Fourth Proportional to 22,141.24, 33,215.10 and 8,287

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Solution

The fourth proportional to 22,141.24, 33,215.10 and 8,287 is: 12,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.24 : 33,215.10 = 8,287 : x
  2. Step 2: Convert to fraction form
    22,141.24/33,215.10 = 8,287/x
  3. Step 3: Cross multiply
    22,141.24x = 33,215.10 × 8,287
  4. Step 4: Simplify right side
    22,141.24x = 275,253,533.70
  5. Step 5: Solve for x
    x = 275,253,533.70/22,141.24
  6. Step 6: Final answer
    x = 12,431.71

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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.