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Finding the Fourth Proportional to 20,164.86, 30,250.53 and 8,481.42

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Solution

The fourth proportional to 20,164.86, 30,250.53 and 8,481.42 is: 12,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.86 : 30,250.53 = 8,481.42 : x
  2. Step 2: Convert to fraction form
    20,164.86/30,250.53 = 8,481.42/x
  3. Step 3: Cross multiply
    20,164.86x = 30,250.53 × 8,481.42
  4. Step 4: Simplify right side
    20,164.86x = 256,567,450.15
  5. Step 5: Solve for x
    x = 256,567,450.15/20,164.86
  6. Step 6: Final answer
    x = 12,723.49

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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.