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Finding the Fourth Proportional to 12,694.16, 17,517.80 and 7,028.96

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Solution

The fourth proportional to 12,694.16, 17,517.80 and 7,028.96 is: 9,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.16 : 17,517.80 = 7,028.96 : x
  2. Step 2: Convert to fraction form
    12,694.16/17,517.80 = 7,028.96/x
  3. Step 3: Cross multiply
    12,694.16x = 17,517.80 × 7,028.96
  4. Step 4: Simplify right side
    12,694.16x = 123,131,845.47
  5. Step 5: Solve for x
    x = 123,131,845.47/12,694.16
  6. Step 6: Final answer
    x = 9,699.88

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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.