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Finding the Fourth Proportional to 12,680.39, 17,493.04 and 8,205.58

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Solution

The fourth proportional to 12,680.39, 17,493.04 and 8,205.58 is: 11,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.39 : 17,493.04 = 8,205.58 : x
  2. Step 2: Convert to fraction form
    12,680.39/17,493.04 = 8,205.58/x
  3. Step 3: Cross multiply
    12,680.39x = 17,493.04 × 8,205.58
  4. Step 4: Simplify right side
    12,680.39x = 143,540,539.16
  5. Step 5: Solve for x
    x = 143,540,539.16/12,680.39
  6. Step 6: Final answer
    x = 11,319.88

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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.