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Finding the Fourth Proportional to 16,135.10, 24,191.55 and 8,222.30

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Solution

The fourth proportional to 16,135.10, 24,191.55 and 8,222.30 is: 12,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.10 : 24,191.55 = 8,222.30 : x
  2. Step 2: Convert to fraction form
    16,135.10/24,191.55 = 8,222.30/x
  3. Step 3: Cross multiply
    16,135.10x = 24,191.55 × 8,222.30
  4. Step 4: Simplify right side
    16,135.10x = 198,910,181.57
  5. Step 5: Solve for x
    x = 198,910,181.57/16,135.10
  6. Step 6: Final answer
    x = 12,327.79

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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.