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Finding the Fourth Proportional to 13,660.88, 20,496.40 and 5,765.44

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Solution

The fourth proportional to 13,660.88, 20,496.40 and 5,765.44 is: 8,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.88 : 20,496.40 = 5,765.44 : x
  2. Step 2: Convert to fraction form
    13,660.88/20,496.40 = 5,765.44/x
  3. Step 3: Cross multiply
    13,660.88x = 20,496.40 × 5,765.44
  4. Step 4: Simplify right side
    13,660.88x = 118,170,764.42
  5. Step 5: Solve for x
    x = 118,170,764.42/13,660.88
  6. Step 6: Final answer
    x = 8,650.30

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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.