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Finding the Fourth Proportional to 12,314.33, 18,471.89 and 3,994.41

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Solution

The fourth proportional to 12,314.33, 18,471.89 and 3,994.41 is: 5,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.33 : 18,471.89 = 3,994.41 : x
  2. Step 2: Convert to fraction form
    12,314.33/18,471.89 = 3,994.41/x
  3. Step 3: Cross multiply
    12,314.33x = 18,471.89 × 3,994.41
  4. Step 4: Simplify right side
    12,314.33x = 73,784,312.12
  5. Step 5: Solve for x
    x = 73,784,312.12/12,314.33
  6. Step 6: Final answer
    x = 5,991.75

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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.