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Finding the Fourth Proportional to 12,412.75, 17,144.22 and 8,213.71

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Solution

The fourth proportional to 12,412.75, 17,144.22 and 8,213.71 is: 11,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.75 : 17,144.22 = 8,213.71 : x
  2. Step 2: Convert to fraction form
    12,412.75/17,144.22 = 8,213.71/x
  3. Step 3: Cross multiply
    12,412.75x = 17,144.22 × 8,213.71
  4. Step 4: Simplify right side
    12,412.75x = 140,817,651.26
  5. Step 5: Solve for x
    x = 140,817,651.26/12,412.75
  6. Step 6: Final answer
    x = 11,344.60

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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.