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Finding the Fourth Proportional to 16,112.78, 22,235.66 and 8,942.47

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Solution

The fourth proportional to 16,112.78, 22,235.66 and 8,942.47 is: 12,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112.78 : 22,235.66 = 8,942.47 : x
  2. Step 2: Convert to fraction form
    16,112.78/22,235.66 = 8,942.47/x
  3. Step 3: Cross multiply
    16,112.78x = 22,235.66 × 8,942.47
  4. Step 4: Simplify right side
    16,112.78x = 198,841,722.48
  5. Step 5: Solve for x
    x = 198,841,722.48/16,112.78
  6. Step 6: Final answer
    x = 12,340.62

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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.