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Finding the Fourth Proportional to 23,454.39, 32,366.76 and 12,843.78

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Solution

The fourth proportional to 23,454.39, 32,366.76 and 12,843.78 is: 17,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.39 : 32,366.76 = 12,843.78 : x
  2. Step 2: Convert to fraction form
    23,454.39/32,366.76 = 12,843.78/x
  3. Step 3: Cross multiply
    23,454.39x = 32,366.76 × 12,843.78
  4. Step 4: Simplify right side
    23,454.39x = 415,711,544.75
  5. Step 5: Solve for x
    x = 415,711,544.75/23,454.39
  6. Step 6: Final answer
    x = 17,724.25

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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.