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Finding the Fourth Proportional to 20,871.44, 31,310.08 and 6,832.56

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Solution

The fourth proportional to 20,871.44, 31,310.08 and 6,832.56 is: 10,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.44 : 31,310.08 = 6,832.56 : x
  2. Step 2: Convert to fraction form
    20,871.44/31,310.08 = 6,832.56/x
  3. Step 3: Cross multiply
    20,871.44x = 31,310.08 × 6,832.56
  4. Step 4: Simplify right side
    20,871.44x = 213,928,100.54
  5. Step 5: Solve for x
    x = 213,928,100.54/20,871.44
  6. Step 6: Final answer
    x = 10,249.80

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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.