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Finding the Fourth Proportional to 20,500.12, 30,753.42 and 8,813.80

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Solution

The fourth proportional to 20,500.12, 30,753.42 and 8,813.80 is: 13,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.12 : 30,753.42 = 8,813.80 : x
  2. Step 2: Convert to fraction form
    20,500.12/30,753.42 = 8,813.80/x
  3. Step 3: Cross multiply
    20,500.12x = 30,753.42 × 8,813.80
  4. Step 4: Simplify right side
    20,500.12x = 271,054,493.20
  5. Step 5: Solve for x
    x = 271,054,493.20/20,500.12
  6. Step 6: Final answer
    x = 13,222.09

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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.