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Finding the Fourth Proportional to 13,515.39, 18,650.18 and 8,138.10

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Solution

The fourth proportional to 13,515.39, 18,650.18 and 8,138.10 is: 11,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.39 : 18,650.18 = 8,138.10 : x
  2. Step 2: Convert to fraction form
    13,515.39/18,650.18 = 8,138.10/x
  3. Step 3: Cross multiply
    13,515.39x = 18,650.18 × 8,138.10
  4. Step 4: Simplify right side
    13,515.39x = 151,777,120.14
  5. Step 5: Solve for x
    x = 151,777,120.14/13,515.39
  6. Step 6: Final answer
    x = 11,229.95

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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.