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Finding the Fourth Proportional to 11,146.80, 16,720.20 and 8,230.80

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Solution

The fourth proportional to 11,146.80, 16,720.20 and 8,230.80 is: 12,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.80 : 16,720.20 = 8,230.80 : x
  2. Step 2: Convert to fraction form
    11,146.80/16,720.20 = 8,230.80/x
  3. Step 3: Cross multiply
    11,146.80x = 16,720.20 × 8,230.80
  4. Step 4: Simplify right side
    11,146.80x = 137,620,622.16
  5. Step 5: Solve for x
    x = 137,620,622.16/11,146.80
  6. Step 6: Final answer
    x = 12,346.20

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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.