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Finding the Fourth Proportional to 22,778.01, 34,167.42 and 7,195.50

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Solution

The fourth proportional to 22,778.01, 34,167.42 and 7,195.50 is: 10,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.01 : 34,167.42 = 7,195.50 : x
  2. Step 2: Convert to fraction form
    22,778.01/34,167.42 = 7,195.50/x
  3. Step 3: Cross multiply
    22,778.01x = 34,167.42 × 7,195.50
  4. Step 4: Simplify right side
    22,778.01x = 245,851,670.61
  5. Step 5: Solve for x
    x = 245,851,670.61/22,778.01
  6. Step 6: Final answer
    x = 10,793.38

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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.