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Finding the Fourth Proportional to 13,716.66, 18,928.89 and 7,748.22

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Solution

The fourth proportional to 13,716.66, 18,928.89 and 7,748.22 is: 10,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.66 : 18,928.89 = 7,748.22 : x
  2. Step 2: Convert to fraction form
    13,716.66/18,928.89 = 7,748.22/x
  3. Step 3: Cross multiply
    13,716.66x = 18,928.89 × 7,748.22
  4. Step 4: Simplify right side
    13,716.66x = 146,665,204.08
  5. Step 5: Solve for x
    x = 146,665,204.08/13,716.66
  6. Step 6: Final answer
    x = 10,692.49

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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.