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Finding the Fourth Proportional to 22,180.50, 33,252.12 and 9,042.30

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Solution

The fourth proportional to 22,180.50, 33,252.12 and 9,042.30 is: 13,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,180.50 : 33,252.12 = 9,042.30 : x
  2. Step 2: Convert to fraction form
    22,180.50/33,252.12 = 9,042.30/x
  3. Step 3: Cross multiply
    22,180.50x = 33,252.12 × 9,042.30
  4. Step 4: Simplify right side
    22,180.50x = 300,675,644.68
  5. Step 5: Solve for x
    x = 300,675,644.68/22,180.50
  6. Step 6: Final answer
    x = 13,555.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.