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Finding the Fourth Proportional to 20,173.98, 30,254.82 and 9,638.43

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Solution

The fourth proportional to 20,173.98, 30,254.82 and 9,638.43 is: 14,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.98 : 30,254.82 = 9,638.43 : x
  2. Step 2: Convert to fraction form
    20,173.98/30,254.82 = 9,638.43/x
  3. Step 3: Cross multiply
    20,173.98x = 30,254.82 × 9,638.43
  4. Step 4: Simplify right side
    20,173.98x = 291,608,964.73
  5. Step 5: Solve for x
    x = 291,608,964.73/20,173.98
  6. Step 6: Final answer
    x = 14,454.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.