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Finding the Fourth Proportional to 13,654.77, 20,481.24 and 3,793.83

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Solution

The fourth proportional to 13,654.77, 20,481.24 and 3,793.83 is: 5,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.77 : 20,481.24 = 3,793.83 : x
  2. Step 2: Convert to fraction form
    13,654.77/20,481.24 = 3,793.83/x
  3. Step 3: Cross multiply
    13,654.77x = 20,481.24 × 3,793.83
  4. Step 4: Simplify right side
    13,654.77x = 77,702,342.75
  5. Step 5: Solve for x
    x = 77,702,342.75/13,654.77
  6. Step 6: Final answer
    x = 5,690.49

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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.