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Finding the Fourth Proportional to 13,183.70, 19,772.43 and 3,821.24

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Solution

The fourth proportional to 13,183.70, 19,772.43 and 3,821.24 is: 5,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.70 : 19,772.43 = 3,821.24 : x
  2. Step 2: Convert to fraction form
    13,183.70/19,772.43 = 3,821.24/x
  3. Step 3: Cross multiply
    13,183.70x = 19,772.43 × 3,821.24
  4. Step 4: Simplify right side
    13,183.70x = 75,555,200.41
  5. Step 5: Solve for x
    x = 75,555,200.41/13,183.70
  6. Step 6: Final answer
    x = 5,730.96

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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.