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Finding the Fourth Proportional to 21,677.60, 32,503.20 and 8,514.20

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Solution

The fourth proportional to 21,677.60, 32,503.20 and 8,514.20 is: 12,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.60 : 32,503.20 = 8,514.20 : x
  2. Step 2: Convert to fraction form
    21,677.60/32,503.20 = 8,514.20/x
  3. Step 3: Cross multiply
    21,677.60x = 32,503.20 × 8,514.20
  4. Step 4: Simplify right side
    21,677.60x = 276,738,745.44
  5. Step 5: Solve for x
    x = 276,738,745.44/21,677.60
  6. Step 6: Final answer
    x = 12,766.12

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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.