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Finding the Fourth Proportional to 16,116.38, 22,240.56 and 9,042.80

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Solution

The fourth proportional to 16,116.38, 22,240.56 and 9,042.80 is: 12,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.38 : 22,240.56 = 9,042.80 : x
  2. Step 2: Convert to fraction form
    16,116.38/22,240.56 = 9,042.80/x
  3. Step 3: Cross multiply
    16,116.38x = 22,240.56 × 9,042.80
  4. Step 4: Simplify right side
    16,116.38x = 201,116,935.97
  5. Step 5: Solve for x
    x = 201,116,935.97/16,116.38
  6. Step 6: Final answer
    x = 12,479.04

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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.