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Finding the Fourth Proportional to 13,716.37, 18,928.97 and 7,748.29

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Solution

The fourth proportional to 13,716.37, 18,928.97 and 7,748.29 is: 10,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.37 : 18,928.97 = 7,748.29 : x
  2. Step 2: Convert to fraction form
    13,716.37/18,928.97 = 7,748.29/x
  3. Step 3: Cross multiply
    13,716.37x = 18,928.97 × 7,748.29
  4. Step 4: Simplify right side
    13,716.37x = 146,667,073.69
  5. Step 5: Solve for x
    x = 146,667,073.69/13,716.37
  6. Step 6: Final answer
    x = 10,692.85

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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.