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Finding the Fourth Proportional to 13,350.25, 20,027 and 4,116.25

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Solution

The fourth proportional to 13,350.25, 20,027 and 4,116.25 is: 6,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350.25 : 20,027 = 4,116.25 : x
  2. Step 2: Convert to fraction form
    13,350.25/20,027 = 4,116.25/x
  3. Step 3: Cross multiply
    13,350.25x = 20,027 × 4,116.25
  4. Step 4: Simplify right side
    13,350.25x = 82,436,138.75
  5. Step 5: Solve for x
    x = 82,436,138.75/13,350.25
  6. Step 6: Final answer
    x = 6,174.88

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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.