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Finding the Fourth Proportional to 23,838.21, 35,757.27 and 8,255.84

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Solution

The fourth proportional to 23,838.21, 35,757.27 and 8,255.84 is: 12,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.21 : 35,757.27 = 8,255.84 : x
  2. Step 2: Convert to fraction form
    23,838.21/35,757.27 = 8,255.84/x
  3. Step 3: Cross multiply
    23,838.21x = 35,757.27 × 8,255.84
  4. Step 4: Simplify right side
    23,838.21x = 295,206,121.17
  5. Step 5: Solve for x
    x = 295,206,121.17/23,838.21
  6. Step 6: Final answer
    x = 12,383.74

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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.