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Finding the Fourth Proportional to 16,227.86, 22,394.62 and 9,517.46

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Solution

The fourth proportional to 16,227.86, 22,394.62 and 9,517.46 is: 13,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.86 : 22,394.62 = 9,517.46 : x
  2. Step 2: Convert to fraction form
    16,227.86/22,394.62 = 9,517.46/x
  3. Step 3: Cross multiply
    16,227.86x = 22,394.62 × 9,517.46
  4. Step 4: Simplify right side
    16,227.86x = 213,139,900.07
  5. Step 5: Solve for x
    x = 213,139,900.07/16,227.86
  6. Step 6: Final answer
    x = 13,134.20

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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.