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Finding the Fourth Proportional to 22,517.53, 33,769.69 and 8,467.42

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Solution

The fourth proportional to 22,517.53, 33,769.69 and 8,467.42 is: 12,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.53 : 33,769.69 = 8,467.42 : x
  2. Step 2: Convert to fraction form
    22,517.53/33,769.69 = 8,467.42/x
  3. Step 3: Cross multiply
    22,517.53x = 33,769.69 × 8,467.42
  4. Step 4: Simplify right side
    22,517.53x = 285,942,148.50
  5. Step 5: Solve for x
    x = 285,942,148.50/22,517.53
  6. Step 6: Final answer
    x = 12,698.65

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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.