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Finding the Fourth Proportional to 12,382.38, 17,078.13 and 8,605.47

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Solution

The fourth proportional to 12,382.38, 17,078.13 and 8,605.47 is: 11,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.38 : 17,078.13 = 8,605.47 : x
  2. Step 2: Convert to fraction form
    12,382.38/17,078.13 = 8,605.47/x
  3. Step 3: Cross multiply
    12,382.38x = 17,078.13 × 8,605.47
  4. Step 4: Simplify right side
    12,382.38x = 146,965,335.37
  5. Step 5: Solve for x
    x = 146,965,335.37/12,382.38
  6. Step 6: Final answer
    x = 11,868.91

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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.