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Finding the Fourth Proportional to 13,744.15, 18,965.33 and 7,694.73

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Solution

The fourth proportional to 13,744.15, 18,965.33 and 7,694.73 is: 10,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.15 : 18,965.33 = 7,694.73 : x
  2. Step 2: Convert to fraction form
    13,744.15/18,965.33 = 7,694.73/x
  3. Step 3: Cross multiply
    13,744.15x = 18,965.33 × 7,694.73
  4. Step 4: Simplify right side
    13,744.15x = 145,933,093.71
  5. Step 5: Solve for x
    x = 145,933,093.71/13,744.15
  6. Step 6: Final answer
    x = 10,617.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.