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Finding the Fourth Proportional to 13,716.24, 18,928.80 and 7,748.16

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Solution

The fourth proportional to 13,716.24, 18,928.80 and 7,748.16 is: 10,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.24 : 18,928.80 = 7,748.16 : x
  2. Step 2: Convert to fraction form
    13,716.24/18,928.80 = 7,748.16/x
  3. Step 3: Cross multiply
    13,716.24x = 18,928.80 × 7,748.16
  4. Step 4: Simplify right side
    13,716.24x = 146,663,371.01
  5. Step 5: Solve for x
    x = 146,663,371.01/13,716.24
  6. Step 6: Final answer
    x = 10,692.68

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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.