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Finding the Fourth Proportional to 24,067.24, 36,101.94 and 8,485

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Solution

The fourth proportional to 24,067.24, 36,101.94 and 8,485 is: 12,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.24 : 36,101.94 = 8,485 : x
  2. Step 2: Convert to fraction form
    24,067.24/36,101.94 = 8,485/x
  3. Step 3: Cross multiply
    24,067.24x = 36,101.94 × 8,485
  4. Step 4: Simplify right side
    24,067.24x = 306,324,960.90
  5. Step 5: Solve for x
    x = 306,324,960.90/24,067.24
  6. Step 6: Final answer
    x = 12,727.88

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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.