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Finding the Fourth Proportional to 22,182.50, 33,255.12 and 9,044.30

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Solution

The fourth proportional to 22,182.50, 33,255.12 and 9,044.30 is: 13,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.50 : 33,255.12 = 9,044.30 : x
  2. Step 2: Convert to fraction form
    22,182.50/33,255.12 = 9,044.30/x
  3. Step 3: Cross multiply
    22,182.50x = 33,255.12 × 9,044.30
  4. Step 4: Simplify right side
    22,182.50x = 300,769,281.82
  5. Step 5: Solve for x
    x = 300,769,281.82/22,182.50
  6. Step 6: Final answer
    x = 13,558.85

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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.