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Finding the Fourth Proportional to 24,067.67, 36,091.17 and 8,274.29

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Solution

The fourth proportional to 24,067.67, 36,091.17 and 8,274.29 is: 12,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.67 : 36,091.17 = 8,274.29 : x
  2. Step 2: Convert to fraction form
    24,067.67/36,091.17 = 8,274.29/x
  3. Step 3: Cross multiply
    24,067.67x = 36,091.17 × 8,274.29
  4. Step 4: Simplify right side
    24,067.67x = 298,628,807.02
  5. Step 5: Solve for x
    x = 298,628,807.02/24,067.67
  6. Step 6: Final answer
    x = 12,407.88

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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.