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Finding the Fourth Proportional to 10,171.12, 15,229.98 and 8,186.20

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Solution

The fourth proportional to 10,171.12, 15,229.98 and 8,186.20 is: 12,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.12 : 15,229.98 = 8,186.20 : x
  2. Step 2: Convert to fraction form
    10,171.12/15,229.98 = 8,186.20/x
  3. Step 3: Cross multiply
    10,171.12x = 15,229.98 × 8,186.20
  4. Step 4: Simplify right side
    10,171.12x = 124,675,662.28
  5. Step 5: Solve for x
    x = 124,675,662.28/10,171.12
  6. Step 6: Final answer
    x = 12,257.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.