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Finding the Fourth Proportional to 20,214.90, 30,311.55 and 8,514.90

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Solution

The fourth proportional to 20,214.90, 30,311.55 and 8,514.90 is: 12,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.90 : 30,311.55 = 8,514.90 : x
  2. Step 2: Convert to fraction form
    20,214.90/30,311.55 = 8,514.90/x
  3. Step 3: Cross multiply
    20,214.90x = 30,311.55 × 8,514.90
  4. Step 4: Simplify right side
    20,214.90x = 258,099,817.10
  5. Step 5: Solve for x
    x = 258,099,817.10/20,214.90
  6. Step 6: Final answer
    x = 12,767.80

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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.