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Finding the Fourth Proportional to 12,211.92, 16,866.30 and 8,226.18

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Solution

The fourth proportional to 12,211.92, 16,866.30 and 8,226.18 is: 11,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.92 : 16,866.30 = 8,226.18 : x
  2. Step 2: Convert to fraction form
    12,211.92/16,866.30 = 8,226.18/x
  3. Step 3: Cross multiply
    12,211.92x = 16,866.30 × 8,226.18
  4. Step 4: Simplify right side
    12,211.92x = 138,745,219.73
  5. Step 5: Solve for x
    x = 138,745,219.73/12,211.92
  6. Step 6: Final answer
    x = 11,361.46

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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.