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Finding the Fourth Proportional to 12,212.34, 18,321.25 and 5,198.34

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Solution

The fourth proportional to 12,212.34, 18,321.25 and 5,198.34 is: 7,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.34 : 18,321.25 = 5,198.34 : x
  2. Step 2: Convert to fraction form
    12,212.34/18,321.25 = 5,198.34/x
  3. Step 3: Cross multiply
    12,212.34x = 18,321.25 × 5,198.34
  4. Step 4: Simplify right side
    12,212.34x = 95,240,082.20
  5. Step 5: Solve for x
    x = 95,240,082.20/12,212.34
  6. Step 6: Final answer
    x = 7,798.67

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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.