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Finding the Fourth Proportional to 16,227.14, 22,393.75 and 9,517.61

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Solution

The fourth proportional to 16,227.14, 22,393.75 and 9,517.61 is: 13,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.14 : 22,393.75 = 9,517.61 : x
  2. Step 2: Convert to fraction form
    16,227.14/22,393.75 = 9,517.61/x
  3. Step 3: Cross multiply
    16,227.14x = 22,393.75 × 9,517.61
  4. Step 4: Simplify right side
    16,227.14x = 213,134,978.94
  5. Step 5: Solve for x
    x = 213,134,978.94/16,227.14
  6. Step 6: Final answer
    x = 13,134.48

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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.