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Finding the Fourth Proportional to 12,844.89, 17,727.17 and 8,065.62

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Solution

The fourth proportional to 12,844.89, 17,727.17 and 8,065.62 is: 11,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.89 : 17,727.17 = 8,065.62 : x
  2. Step 2: Convert to fraction form
    12,844.89/17,727.17 = 8,065.62/x
  3. Step 3: Cross multiply
    12,844.89x = 17,727.17 × 8,065.62
  4. Step 4: Simplify right side
    12,844.89x = 142,980,576.57
  5. Step 5: Solve for x
    x = 142,980,576.57/12,844.89
  6. Step 6: Final answer
    x = 11,131.32

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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.