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Finding the Fourth Proportional to 12,729.17, 17,568.29 and 7,694.01

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Solution

The fourth proportional to 12,729.17, 17,568.29 and 7,694.01 is: 10,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.17 : 17,568.29 = 7,694.01 : x
  2. Step 2: Convert to fraction form
    12,729.17/17,568.29 = 7,694.01/x
  3. Step 3: Cross multiply
    12,729.17x = 17,568.29 × 7,694.01
  4. Step 4: Simplify right side
    12,729.17x = 135,170,618.18
  5. Step 5: Solve for x
    x = 135,170,618.18/12,729.17
  6. Step 6: Final answer
    x = 10,618.96

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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.