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Finding the Fourth Proportional to 23,785.43, 35,682.24 and 7,991.97

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Solution

The fourth proportional to 23,785.43, 35,682.24 and 7,991.97 is: 11,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.43 : 35,682.24 = 7,991.97 : x
  2. Step 2: Convert to fraction form
    23,785.43/35,682.24 = 7,991.97/x
  3. Step 3: Cross multiply
    23,785.43x = 35,682.24 × 7,991.97
  4. Step 4: Simplify right side
    23,785.43x = 285,171,391.61
  5. Step 5: Solve for x
    x = 285,171,391.61/23,785.43
  6. Step 6: Final answer
    x = 11,989.33

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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.