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Finding the Fourth Proportional to 20,659.96, 30,993.44 and 8,173.41

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Solution

The fourth proportional to 20,659.96, 30,993.44 and 8,173.41 is: 12,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.96 : 30,993.44 = 8,173.41 : x
  2. Step 2: Convert to fraction form
    20,659.96/30,993.44 = 8,173.41/x
  3. Step 3: Cross multiply
    20,659.96x = 30,993.44 × 8,173.41
  4. Step 4: Simplify right side
    20,659.96x = 253,321,935.34
  5. Step 5: Solve for x
    x = 253,321,935.34/20,659.96
  6. Step 6: Final answer
    x = 12,261.49

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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.