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Finding the Fourth Proportional to 22,745.26, 34,121.49 and 6,736.42

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Solution

The fourth proportional to 22,745.26, 34,121.49 and 6,736.42 is: 10,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,745.26 : 34,121.49 = 6,736.42 : x
  2. Step 2: Convert to fraction form
    22,745.26/34,121.49 = 6,736.42/x
  3. Step 3: Cross multiply
    22,745.26x = 34,121.49 × 6,736.42
  4. Step 4: Simplify right side
    22,745.26x = 229,856,687.67
  5. Step 5: Solve for x
    x = 229,856,687.67/22,745.26
  6. Step 6: Final answer
    x = 10,105.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.