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Finding the Fourth Proportional to 20,770.31, 31,168.43 and 8,458.31

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Solution

The fourth proportional to 20,770.31, 31,168.43 and 8,458.31 is: 12,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.31 : 31,168.43 = 8,458.31 : x
  2. Step 2: Convert to fraction form
    20,770.31/31,168.43 = 8,458.31/x
  3. Step 3: Cross multiply
    20,770.31x = 31,168.43 × 8,458.31
  4. Step 4: Simplify right side
    20,770.31x = 263,632,310.50
  5. Step 5: Solve for x
    x = 263,632,310.50/20,770.31
  6. Step 6: Final answer
    x = 12,692.75

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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.