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Finding the Fourth Proportional to 12,747.65, 17,589.69 and 7,967.03

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Solution

The fourth proportional to 12,747.65, 17,589.69 and 7,967.03 is: 10,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.65 : 17,589.69 = 7,967.03 : x
  2. Step 2: Convert to fraction form
    12,747.65/17,589.69 = 7,967.03/x
  3. Step 3: Cross multiply
    12,747.65x = 17,589.69 × 7,967.03
  4. Step 4: Simplify right side
    12,747.65x = 140,137,499.97
  5. Step 5: Solve for x
    x = 140,137,499.97/12,747.65
  6. Step 6: Final answer
    x = 10,993.21

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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.