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Finding the Fourth Proportional to 23,936.68, 35,910.84 and 8,142.76

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Solution

The fourth proportional to 23,936.68, 35,910.84 and 8,142.76 is: 12,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936.68 : 35,910.84 = 8,142.76 : x
  2. Step 2: Convert to fraction form
    23,936.68/35,910.84 = 8,142.76/x
  3. Step 3: Cross multiply
    23,936.68x = 35,910.84 × 8,142.76
  4. Step 4: Simplify right side
    23,936.68x = 292,413,351.52
  5. Step 5: Solve for x
    x = 292,413,351.52/23,936.68
  6. Step 6: Final answer
    x = 12,216.12

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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.