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Finding the Fourth Proportional to 12,433.57, 17,149.59 and 8,183.27

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Solution

The fourth proportional to 12,433.57, 17,149.59 and 8,183.27 is: 11,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.57 : 17,149.59 = 8,183.27 : x
  2. Step 2: Convert to fraction form
    12,433.57/17,149.59 = 8,183.27/x
  3. Step 3: Cross multiply
    12,433.57x = 17,149.59 × 8,183.27
  4. Step 4: Simplify right side
    12,433.57x = 140,339,725.36
  5. Step 5: Solve for x
    x = 140,339,725.36/12,433.57
  6. Step 6: Final answer
    x = 11,287.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.