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Finding the Fourth Proportional to 13,994.57, 20,991.79 and 5,674.56

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Solution

The fourth proportional to 13,994.57, 20,991.79 and 5,674.56 is: 8,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.57 : 20,991.79 = 5,674.56 : x
  2. Step 2: Convert to fraction form
    13,994.57/20,991.79 = 5,674.56/x
  3. Step 3: Cross multiply
    13,994.57x = 20,991.79 × 5,674.56
  4. Step 4: Simplify right side
    13,994.57x = 119,119,100.24
  5. Step 5: Solve for x
    x = 119,119,100.24/13,994.57
  6. Step 6: Final answer
    x = 8,511.81

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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.