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Finding the Fourth Proportional to 11,974.40, 17,969.76 and 4,183.20

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Solution

The fourth proportional to 11,974.40, 17,969.76 and 4,183.20 is: 6,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.40 : 17,969.76 = 4,183.20 : x
  2. Step 2: Convert to fraction form
    11,974.40/17,969.76 = 4,183.20/x
  3. Step 3: Cross multiply
    11,974.40x = 17,969.76 × 4,183.20
  4. Step 4: Simplify right side
    11,974.40x = 75,171,100.03
  5. Step 5: Solve for x
    x = 75,171,100.03/11,974.40
  6. Step 6: Final answer
    x = 6,277.65

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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.