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Finding the Fourth Proportional to 22,658.56, 33,982.08 and 8,800

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Solution

The fourth proportional to 22,658.56, 33,982.08 and 8,800 is: 13,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.56 : 33,982.08 = 8,800 : x
  2. Step 2: Convert to fraction form
    22,658.56/33,982.08 = 8,800/x
  3. Step 3: Cross multiply
    22,658.56x = 33,982.08 × 8,800
  4. Step 4: Simplify right side
    22,658.56x = 299,042,304
  5. Step 5: Solve for x
    x = 299,042,304/22,658.56
  6. Step 6: Final answer
    x = 13,197.76

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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.