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Finding the Fourth Proportional to 12,836.40, 17,704.75 and 8,116.13

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Solution

The fourth proportional to 12,836.40, 17,704.75 and 8,116.13 is: 11,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.40 : 17,704.75 = 8,116.13 : x
  2. Step 2: Convert to fraction form
    12,836.40/17,704.75 = 8,116.13/x
  3. Step 3: Cross multiply
    12,836.40x = 17,704.75 × 8,116.13
  4. Step 4: Simplify right side
    12,836.40x = 143,694,052.62
  5. Step 5: Solve for x
    x = 143,694,052.62/12,836.40
  6. Step 6: Final answer
    x = 11,194.26

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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.