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Finding the Fourth Proportional to 12,843.57, 19,269.47 and 5,454.24

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Solution

The fourth proportional to 12,843.57, 19,269.47 and 5,454.24 is: 8,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.57 : 19,269.47 = 5,454.24 : x
  2. Step 2: Convert to fraction form
    12,843.57/19,269.47 = 5,454.24/x
  3. Step 3: Cross multiply
    12,843.57x = 19,269.47 × 5,454.24
  4. Step 4: Simplify right side
    12,843.57x = 105,100,314.05
  5. Step 5: Solve for x
    x = 105,100,314.05/12,843.57
  6. Step 6: Final answer
    x = 8,183.11

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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.