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Finding the Fourth Proportional to 22,472.85, 33,721.05 and 8,442.56

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Solution

The fourth proportional to 22,472.85, 33,721.05 and 8,442.56 is: 12,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.85 : 33,721.05 = 8,442.56 : x
  2. Step 2: Convert to fraction form
    22,472.85/33,721.05 = 8,442.56/x
  3. Step 3: Cross multiply
    22,472.85x = 33,721.05 × 8,442.56
  4. Step 4: Simplify right side
    22,472.85x = 284,692,103.85
  5. Step 5: Solve for x
    x = 284,692,103.85/22,472.85
  6. Step 6: Final answer
    x = 12,668.27

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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.