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Finding the Fourth Proportional to 12,415.27, 17,136.78 and 8,169.61

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Solution

The fourth proportional to 12,415.27, 17,136.78 and 8,169.61 is: 11,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.27 : 17,136.78 = 8,169.61 : x
  2. Step 2: Convert to fraction form
    12,415.27/17,136.78 = 8,169.61/x
  3. Step 3: Cross multiply
    12,415.27x = 17,136.78 × 8,169.61
  4. Step 4: Simplify right side
    12,415.27x = 140,000,766.41
  5. Step 5: Solve for x
    x = 140,000,766.41/12,415.27
  6. Step 6: Final answer
    x = 11,276.50

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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.