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Finding the Fourth Proportional to 12,205.28, 18,310.58 and 5,191.28

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Solution

The fourth proportional to 12,205.28, 18,310.58 and 5,191.28 is: 7,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.28 : 18,310.58 = 5,191.28 : x
  2. Step 2: Convert to fraction form
    12,205.28/18,310.58 = 5,191.28/x
  3. Step 3: Cross multiply
    12,205.28x = 18,310.58 × 5,191.28
  4. Step 4: Simplify right side
    12,205.28x = 95,055,230.23
  5. Step 5: Solve for x
    x = 95,055,230.23/12,205.28
  6. Step 6: Final answer
    x = 7,788.04

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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.