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Finding the Fourth Proportional to 23,305.14, 32,159.97 and 12,694.14

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Solution

The fourth proportional to 23,305.14, 32,159.97 and 12,694.14 is: 17,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.14 : 32,159.97 = 12,694.14 : x
  2. Step 2: Convert to fraction form
    23,305.14/32,159.97 = 12,694.14/x
  3. Step 3: Cross multiply
    23,305.14x = 32,159.97 × 12,694.14
  4. Step 4: Simplify right side
    23,305.14x = 408,243,161.58
  5. Step 5: Solve for x
    x = 408,243,161.58/23,305.14
  6. Step 6: Final answer
    x = 17,517.30

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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.