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Finding the Fourth Proportional to 22,839.28, 34,249.26 and 8,044.60

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Solution

The fourth proportional to 22,839.28, 34,249.26 and 8,044.60 is: 12,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.28 : 34,249.26 = 8,044.60 : x
  2. Step 2: Convert to fraction form
    22,839.28/34,249.26 = 8,044.60/x
  3. Step 3: Cross multiply
    22,839.28x = 34,249.26 × 8,044.60
  4. Step 4: Simplify right side
    22,839.28x = 275,521,597.00
  5. Step 5: Solve for x
    x = 275,521,597.00/22,839.28
  6. Step 6: Final answer
    x = 12,063.50

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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.