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Finding the Fourth Proportional to 13,638.32, 18,821 and 8,049.20

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Solution

The fourth proportional to 13,638.32, 18,821 and 8,049.20 is: 11,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.32 : 18,821 = 8,049.20 : x
  2. Step 2: Convert to fraction form
    13,638.32/18,821 = 8,049.20/x
  3. Step 3: Cross multiply
    13,638.32x = 18,821 × 8,049.20
  4. Step 4: Simplify right side
    13,638.32x = 151,493,993.20
  5. Step 5: Solve for x
    x = 151,493,993.20/13,638.32
  6. Step 6: Final answer
    x = 11,107.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.