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Finding the Fourth Proportional to 12,200.75, 18,286.12 and 6,940.14

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Solution

The fourth proportional to 12,200.75, 18,286.12 and 6,940.14 is: 10,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.75 : 18,286.12 = 6,940.14 : x
  2. Step 2: Convert to fraction form
    12,200.75/18,286.12 = 6,940.14/x
  3. Step 3: Cross multiply
    12,200.75x = 18,286.12 × 6,940.14
  4. Step 4: Simplify right side
    12,200.75x = 126,908,232.86
  5. Step 5: Solve for x
    x = 126,908,232.86/12,200.75
  6. Step 6: Final answer
    x = 10,401.67

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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.