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Finding the Fourth Proportional to 20,517.69, 30,775.92 and 8,508.63

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Solution

The fourth proportional to 20,517.69, 30,775.92 and 8,508.63 is: 12,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.69 : 30,775.92 = 8,508.63 : x
  2. Step 2: Convert to fraction form
    20,517.69/30,775.92 = 8,508.63/x
  3. Step 3: Cross multiply
    20,517.69x = 30,775.92 × 8,508.63
  4. Step 4: Simplify right side
    20,517.69x = 261,860,800.78
  5. Step 5: Solve for x
    x = 261,860,800.78/20,517.69
  6. Step 6: Final answer
    x = 12,762.69

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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.