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Finding the Fourth Proportional to 13,738.68, 18,958.32 and 7,770.96

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Solution

The fourth proportional to 13,738.68, 18,958.32 and 7,770.96 is: 10,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.68 : 18,958.32 = 7,770.96 : x
  2. Step 2: Convert to fraction form
    13,738.68/18,958.32 = 7,770.96/x
  3. Step 3: Cross multiply
    13,738.68x = 18,958.32 × 7,770.96
  4. Step 4: Simplify right side
    13,738.68x = 147,324,346.39
  5. Step 5: Solve for x
    x = 147,324,346.39/13,738.68
  6. Step 6: Final answer
    x = 10,723.33

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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.