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Finding the Fourth Proportional to 20,201.08, 30,305.72 and 8,514.30

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Solution

The fourth proportional to 20,201.08, 30,305.72 and 8,514.30 is: 12,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.08 : 30,305.72 = 8,514.30 : x
  2. Step 2: Convert to fraction form
    20,201.08/30,305.72 = 8,514.30/x
  3. Step 3: Cross multiply
    20,201.08x = 30,305.72 × 8,514.30
  4. Step 4: Simplify right side
    20,201.08x = 258,031,991.80
  5. Step 5: Solve for x
    x = 258,031,991.80/20,201.08
  6. Step 6: Final answer
    x = 12,773.18

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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.