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Finding the Fourth Proportional to 22,786.60, 34,177.02 and 7,205.80

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Solution

The fourth proportional to 22,786.60, 34,177.02 and 7,205.80 is: 10,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.60 : 34,177.02 = 7,205.80 : x
  2. Step 2: Convert to fraction form
    22,786.60/34,177.02 = 7,205.80/x
  3. Step 3: Cross multiply
    22,786.60x = 34,177.02 × 7,205.80
  4. Step 4: Simplify right side
    22,786.60x = 246,272,770.72
  5. Step 5: Solve for x
    x = 246,272,770.72/22,786.60
  6. Step 6: Final answer
    x = 10,807.79

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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.