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Finding the Fourth Proportional to 12,745.27, 17,584.05 and 8,274.61

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Solution

The fourth proportional to 12,745.27, 17,584.05 and 8,274.61 is: 11,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.27 : 17,584.05 = 8,274.61 : x
  2. Step 2: Convert to fraction form
    12,745.27/17,584.05 = 8,274.61/x
  3. Step 3: Cross multiply
    12,745.27x = 17,584.05 × 8,274.61
  4. Step 4: Simplify right side
    12,745.27x = 145,501,155.97
  5. Step 5: Solve for x
    x = 145,501,155.97/12,745.27
  6. Step 6: Final answer
    x = 11,416.09

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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.