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Finding the Fourth Proportional to 13,469.67, 20,202.95 and 5,149.50

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Solution

The fourth proportional to 13,469.67, 20,202.95 and 5,149.50 is: 7,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.67 : 20,202.95 = 5,149.50 : x
  2. Step 2: Convert to fraction form
    13,469.67/20,202.95 = 5,149.50/x
  3. Step 3: Cross multiply
    13,469.67x = 20,202.95 × 5,149.50
  4. Step 4: Simplify right side
    13,469.67x = 104,035,065.28
  5. Step 5: Solve for x
    x = 104,035,065.28/13,469.67
  6. Step 6: Final answer
    x = 7,723.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.