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Finding the Fourth Proportional to 20,163.44, 30,249.56 and 8,470

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Solution

The fourth proportional to 20,163.44, 30,249.56 and 8,470 is: 12,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.44 : 30,249.56 = 8,470 : x
  2. Step 2: Convert to fraction form
    20,163.44/30,249.56 = 8,470/x
  3. Step 3: Cross multiply
    20,163.44x = 30,249.56 × 8,470
  4. Step 4: Simplify right side
    20,163.44x = 256,213,773.20
  5. Step 5: Solve for x
    x = 256,213,773.20/20,163.44
  6. Step 6: Final answer
    x = 12,706.85

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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.