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Finding the Fourth Proportional to 11,212.20, 16,823.70 and 8,578.80

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Solution

The fourth proportional to 11,212.20, 16,823.70 and 8,578.80 is: 12,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.20 : 16,823.70 = 8,578.80 : x
  2. Step 2: Convert to fraction form
    11,212.20/16,823.70 = 8,578.80/x
  3. Step 3: Cross multiply
    11,212.20x = 16,823.70 × 8,578.80
  4. Step 4: Simplify right side
    11,212.20x = 144,327,157.56
  5. Step 5: Solve for x
    x = 144,327,157.56/11,212.20
  6. Step 6: Final answer
    x = 12,872.33

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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.