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Finding the Fourth Proportional to 22,147.91, 30,571.52 and 13,198.22

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Solution

The fourth proportional to 22,147.91, 30,571.52 and 13,198.22 is: 18,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.91 : 30,571.52 = 13,198.22 : x
  2. Step 2: Convert to fraction form
    22,147.91/30,571.52 = 13,198.22/x
  3. Step 3: Cross multiply
    22,147.91x = 30,571.52 × 13,198.22
  4. Step 4: Simplify right side
    22,147.91x = 403,489,427.85
  5. Step 5: Solve for x
    x = 403,489,427.85/22,147.91
  6. Step 6: Final answer
    x = 18,217.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.