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Finding the Fourth Proportional to 16,016.11, 22,102.17 and 8,942.47

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Solution

The fourth proportional to 16,016.11, 22,102.17 and 8,942.47 is: 12,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,016.11 : 22,102.17 = 8,942.47 : x
  2. Step 2: Convert to fraction form
    16,016.11/22,102.17 = 8,942.47/x
  3. Step 3: Cross multiply
    16,016.11x = 22,102.17 × 8,942.47
  4. Step 4: Simplify right side
    16,016.11x = 197,647,881.65
  5. Step 5: Solve for x
    x = 197,647,881.65/16,016.11
  6. Step 6: Final answer
    x = 12,340.57

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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.