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Finding the Fourth Proportional to 16,034.82, 22,127.68 and 8,961.90

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Solution

The fourth proportional to 16,034.82, 22,127.68 and 8,961.90 is: 12,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.82 : 22,127.68 = 8,961.90 : x
  2. Step 2: Convert to fraction form
    16,034.82/22,127.68 = 8,961.90/x
  3. Step 3: Cross multiply
    16,034.82x = 22,127.68 × 8,961.90
  4. Step 4: Simplify right side
    16,034.82x = 198,306,055.39
  5. Step 5: Solve for x
    x = 198,306,055.39/16,034.82
  6. Step 6: Final answer
    x = 12,367.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.