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Finding the Fourth Proportional to 22,195.91, 33,294.15 and 12,397.56

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Solution

The fourth proportional to 22,195.91, 33,294.15 and 12,397.56 is: 18,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,195.91 : 33,294.15 = 12,397.56 : x
  2. Step 2: Convert to fraction form
    22,195.91/33,294.15 = 12,397.56/x
  3. Step 3: Cross multiply
    22,195.91x = 33,294.15 × 12,397.56
  4. Step 4: Simplify right side
    22,195.91x = 412,766,222.27
  5. Step 5: Solve for x
    x = 412,766,222.27/22,195.91
  6. Step 6: Final answer
    x = 18,596.50

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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.