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Finding the Fourth Proportional to 20,493.12, 30,756.96 and 8,189.76

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Solution

The fourth proportional to 20,493.12, 30,756.96 and 8,189.76 is: 12,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.12 : 30,756.96 = 8,189.76 : x
  2. Step 2: Convert to fraction form
    20,493.12/30,756.96 = 8,189.76/x
  3. Step 3: Cross multiply
    20,493.12x = 30,756.96 × 8,189.76
  4. Step 4: Simplify right side
    20,493.12x = 251,892,120.73
  5. Step 5: Solve for x
    x = 251,892,120.73/20,493.12
  6. Step 6: Final answer
    x = 12,291.55

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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.