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Finding the Fourth Proportional to 22,796.80, 34,198.98 and 8,001.88

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Solution

The fourth proportional to 22,796.80, 34,198.98 and 8,001.88 is: 12,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.80 : 34,198.98 = 8,001.88 : x
  2. Step 2: Convert to fraction form
    22,796.80/34,198.98 = 8,001.88/x
  3. Step 3: Cross multiply
    22,796.80x = 34,198.98 × 8,001.88
  4. Step 4: Simplify right side
    22,796.80x = 273,656,134.08
  5. Step 5: Solve for x
    x = 273,656,134.08/22,796.80
  6. Step 6: Final answer
    x = 12,004.15

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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.