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Finding the Fourth Proportional to 13,515.54, 20,255.49 and 8,234.34

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Solution

The fourth proportional to 13,515.54, 20,255.49 and 8,234.34 is: 12,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.54 : 20,255.49 = 8,234.34 : x
  2. Step 2: Convert to fraction form
    13,515.54/20,255.49 = 8,234.34/x
  3. Step 3: Cross multiply
    13,515.54x = 20,255.49 × 8,234.34
  4. Step 4: Simplify right side
    13,515.54x = 166,790,591.53
  5. Step 5: Solve for x
    x = 166,790,591.53/13,515.54
  6. Step 6: Final answer
    x = 12,340.65

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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.