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Finding the Fourth Proportional to 20,514.80, 30,770.60 and 8,032.40

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Solution

The fourth proportional to 20,514.80, 30,770.60 and 8,032.40 is: 12,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.80 : 30,770.60 = 8,032.40 : x
  2. Step 2: Convert to fraction form
    20,514.80/30,770.60 = 8,032.40/x
  3. Step 3: Cross multiply
    20,514.80x = 30,770.60 × 8,032.40
  4. Step 4: Simplify right side
    20,514.80x = 247,161,767.44
  5. Step 5: Solve for x
    x = 247,161,767.44/20,514.80
  6. Step 6: Final answer
    x = 12,047.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.