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Finding the Fourth Proportional to 16,864, 23,272.41 and 9,412

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Solution

The fourth proportional to 16,864, 23,272.41 and 9,412 is: 12,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864 : 23,272.41 = 9,412 : x
  2. Step 2: Convert to fraction form
    16,864/23,272.41 = 9,412/x
  3. Step 3: Cross multiply
    16,864x = 23,272.41 × 9,412
  4. Step 4: Simplify right side
    16,864x = 219,039,922.92
  5. Step 5: Solve for x
    x = 219,039,922.92/16,864
  6. Step 6: Final answer
    x = 12,988.61

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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.