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Finding the Fourth Proportional to 23,454.14, 32,366.80 and 12,843.68

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Solution

The fourth proportional to 23,454.14, 32,366.80 and 12,843.68 is: 17,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.14 : 32,366.80 = 12,843.68 : x
  2. Step 2: Convert to fraction form
    23,454.14/32,366.80 = 12,843.68/x
  3. Step 3: Cross multiply
    23,454.14x = 32,366.80 × 12,843.68
  4. Step 4: Simplify right side
    23,454.14x = 415,708,821.82
  5. Step 5: Solve for x
    x = 415,708,821.82/23,454.14
  6. Step 6: Final answer
    x = 17,724.33

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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.