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Finding the Fourth Proportional to 16,116.82, 24,164.50 and 8,222.20

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Solution

The fourth proportional to 16,116.82, 24,164.50 and 8,222.20 is: 12,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.82 : 24,164.50 = 8,222.20 : x
  2. Step 2: Convert to fraction form
    16,116.82/24,164.50 = 8,222.20/x
  3. Step 3: Cross multiply
    16,116.82x = 24,164.50 × 8,222.20
  4. Step 4: Simplify right side
    16,116.82x = 198,685,351.90
  5. Step 5: Solve for x
    x = 198,685,351.90/16,116.82
  6. Step 6: Final answer
    x = 12,327.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.