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Finding the Fourth Proportional to 12,213.88, 16,855.34 and 7,178.21

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Solution

The fourth proportional to 12,213.88, 16,855.34 and 7,178.21 is: 9,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.88 : 16,855.34 = 7,178.21 : x
  2. Step 2: Convert to fraction form
    12,213.88/16,855.34 = 7,178.21/x
  3. Step 3: Cross multiply
    12,213.88x = 16,855.34 × 7,178.21
  4. Step 4: Simplify right side
    12,213.88x = 120,991,170.14
  5. Step 5: Solve for x
    x = 120,991,170.14/12,213.88
  6. Step 6: Final answer
    x = 9,906.04

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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.