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Finding the Fourth Proportional to 12,391.41, 17,099.69 and 7,086.09

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Solution

The fourth proportional to 12,391.41, 17,099.69 and 7,086.09 is: 9,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391.41 : 17,099.69 = 7,086.09 : x
  2. Step 2: Convert to fraction form
    12,391.41/17,099.69 = 7,086.09/x
  3. Step 3: Cross multiply
    12,391.41x = 17,099.69 × 7,086.09
  4. Step 4: Simplify right side
    12,391.41x = 121,169,906.88
  5. Step 5: Solve for x
    x = 121,169,906.88/12,391.41
  6. Step 6: Final answer
    x = 9,778.54

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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.