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Finding the Fourth Proportional to 10,910.80, 16,366.20 and 10,181.80

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Solution

The fourth proportional to 10,910.80, 16,366.20 and 10,181.80 is: 15,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.80 : 16,366.20 = 10,181.80 : x
  2. Step 2: Convert to fraction form
    10,910.80/16,366.20 = 10,181.80/x
  3. Step 3: Cross multiply
    10,910.80x = 16,366.20 × 10,181.80
  4. Step 4: Simplify right side
    10,910.80x = 166,637,375.16
  5. Step 5: Solve for x
    x = 166,637,375.16/10,910.80
  6. Step 6: Final answer
    x = 15,272.70

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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.