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Finding the Fourth Proportional to 16,109.78, 22,231.17 and 9,036.18

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Solution

The fourth proportional to 16,109.78, 22,231.17 and 9,036.18 is: 12,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.78 : 22,231.17 = 9,036.18 : x
  2. Step 2: Convert to fraction form
    16,109.78/22,231.17 = 9,036.18/x
  3. Step 3: Cross multiply
    16,109.78x = 22,231.17 × 9,036.18
  4. Step 4: Simplify right side
    16,109.78x = 200,884,853.73
  5. Step 5: Solve for x
    x = 200,884,853.73/16,109.78
  6. Step 6: Final answer
    x = 12,469.75

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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.