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Finding the Fourth Proportional to 13,853.23, 20,778.02 and 3,993.50

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Solution

The fourth proportional to 13,853.23, 20,778.02 and 3,993.50 is: 5,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.23 : 20,778.02 = 3,993.50 : x
  2. Step 2: Convert to fraction form
    13,853.23/20,778.02 = 3,993.50/x
  3. Step 3: Cross multiply
    13,853.23x = 20,778.02 × 3,993.50
  4. Step 4: Simplify right side
    13,853.23x = 82,977,069.82
  5. Step 5: Solve for x
    x = 82,977,069.82/13,853.23
  6. Step 6: Final answer
    x = 5,989.73

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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.