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Finding the Fourth Proportional to 12,317.75, 18,474.32 and 3,997.84

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Solution

The fourth proportional to 12,317.75, 18,474.32 and 3,997.84 is: 5,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.75 : 18,474.32 = 3,997.84 : x
  2. Step 2: Convert to fraction form
    12,317.75/18,474.32 = 3,997.84/x
  3. Step 3: Cross multiply
    12,317.75x = 18,474.32 × 3,997.84
  4. Step 4: Simplify right side
    12,317.75x = 73,857,375.47
  5. Step 5: Solve for x
    x = 73,857,375.47/12,317.75
  6. Step 6: Final answer
    x = 5,996.01

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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.