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Finding the Fourth Proportional to 23,183.56, 34,793.52 and 8,406.70

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Solution

The fourth proportional to 23,183.56, 34,793.52 and 8,406.70 is: 12,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.56 : 34,793.52 = 8,406.70 : x
  2. Step 2: Convert to fraction form
    23,183.56/34,793.52 = 8,406.70/x
  3. Step 3: Cross multiply
    23,183.56x = 34,793.52 × 8,406.70
  4. Step 4: Simplify right side
    23,183.56x = 292,498,684.58
  5. Step 5: Solve for x
    x = 292,498,684.58/23,183.56
  6. Step 6: Final answer
    x = 12,616.64

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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.