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Finding the Fourth Proportional to 12,207.96, 16,850.43 and 7,172.33

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Solution

The fourth proportional to 12,207.96, 16,850.43 and 7,172.33 is: 9,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.96 : 16,850.43 = 7,172.33 : x
  2. Step 2: Convert to fraction form
    12,207.96/16,850.43 = 7,172.33/x
  3. Step 3: Cross multiply
    12,207.96x = 16,850.43 × 7,172.33
  4. Step 4: Simplify right side
    12,207.96x = 120,856,760.35
  5. Step 5: Solve for x
    x = 120,856,760.35/12,207.96
  6. Step 6: Final answer
    x = 9,899.83

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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.