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Finding the Fourth Proportional to 13,469.85, 20,204.01 and 4,109.76

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Solution

The fourth proportional to 13,469.85, 20,204.01 and 4,109.76 is: 6,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.85 : 20,204.01 = 4,109.76 : x
  2. Step 2: Convert to fraction form
    13,469.85/20,204.01 = 4,109.76/x
  3. Step 3: Cross multiply
    13,469.85x = 20,204.01 × 4,109.76
  4. Step 4: Simplify right side
    13,469.85x = 83,033,632.14
  5. Step 5: Solve for x
    x = 83,033,632.14/13,469.85
  6. Step 6: Final answer
    x = 6,164.41

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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.