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Finding the Fourth Proportional to 11,105.80, 16,618.20 and 8,189.80

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Solution

The fourth proportional to 11,105.80, 16,618.20 and 8,189.80 is: 12,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.80 : 16,618.20 = 8,189.80 : x
  2. Step 2: Convert to fraction form
    11,105.80/16,618.20 = 8,189.80/x
  3. Step 3: Cross multiply
    11,105.80x = 16,618.20 × 8,189.80
  4. Step 4: Simplify right side
    11,105.80x = 136,099,734.36
  5. Step 5: Solve for x
    x = 136,099,734.36/11,105.80
  6. Step 6: Final answer
    x = 12,254.83

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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.