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Finding the Fourth Proportional to 13,353.80, 18,427.38 and 8,049.80

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Solution

The fourth proportional to 13,353.80, 18,427.38 and 8,049.80 is: 11,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.80 : 18,427.38 = 8,049.80 : x
  2. Step 2: Convert to fraction form
    13,353.80/18,427.38 = 8,049.80/x
  3. Step 3: Cross multiply
    13,353.80x = 18,427.38 × 8,049.80
  4. Step 4: Simplify right side
    13,353.80x = 148,336,723.52
  5. Step 5: Solve for x
    x = 148,336,723.52/13,353.80
  6. Step 6: Final answer
    x = 11,108.20

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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.