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Finding the Fourth Proportional to 27,171.97, 40,763.82 and 8,451.64

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Solution

The fourth proportional to 27,171.97, 40,763.82 and 8,451.64 is: 12,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,171.97 : 40,763.82 = 8,451.64 : x
  2. Step 2: Convert to fraction form
    27,171.97/40,763.82 = 8,451.64/x
  3. Step 3: Cross multiply
    27,171.97x = 40,763.82 × 8,451.64
  4. Step 4: Simplify right side
    27,171.97x = 344,521,131.66
  5. Step 5: Solve for x
    x = 344,521,131.66/27,171.97
  6. Step 6: Final answer
    x = 12,679.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.