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Finding the Fourth Proportional to 26,633.56, 39,954.18 and 8,167

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Solution

The fourth proportional to 26,633.56, 39,954.18 and 8,167 is: 12,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,633.56 : 39,954.18 = 8,167 : x
  2. Step 2: Convert to fraction form
    26,633.56/39,954.18 = 8,167/x
  3. Step 3: Cross multiply
    26,633.56x = 39,954.18 × 8,167
  4. Step 4: Simplify right side
    26,633.56x = 326,305,788.06
  5. Step 5: Solve for x
    x = 326,305,788.06/26,633.56
  6. Step 6: Final answer
    x = 12,251.68

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Why These Related Problems?

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