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Finding the Fourth Proportional to 12,212.42, 16,850.31 and 8,438.90

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Solution

The fourth proportional to 12,212.42, 16,850.31 and 8,438.90 is: 11,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.42 : 16,850.31 = 8,438.90 : x
  2. Step 2: Convert to fraction form
    12,212.42/16,850.31 = 8,438.90/x
  3. Step 3: Cross multiply
    12,212.42x = 16,850.31 × 8,438.90
  4. Step 4: Simplify right side
    12,212.42x = 142,198,081.06
  5. Step 5: Solve for x
    x = 142,198,081.06/12,212.42
  6. Step 6: Final answer
    x = 11,643.73

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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.