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Finding the Fourth Proportional to 16,107.19, 22,227.92 and 9,033.61

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Solution

The fourth proportional to 16,107.19, 22,227.92 and 9,033.61 is: 12,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.19 : 22,227.92 = 9,033.61 : x
  2. Step 2: Convert to fraction form
    16,107.19/22,227.92 = 9,033.61/x
  3. Step 3: Cross multiply
    16,107.19x = 22,227.92 × 9,033.61
  4. Step 4: Simplify right side
    16,107.19x = 200,798,335.21
  5. Step 5: Solve for x
    x = 200,798,335.21/16,107.19
  6. Step 6: Final answer
    x = 12,466.38

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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.