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Finding the Fourth Proportional to 13,733.28, 18,950.76 and 7,764.12

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Solution

The fourth proportional to 13,733.28, 18,950.76 and 7,764.12 is: 10,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.28 : 18,950.76 = 7,764.12 : x
  2. Step 2: Convert to fraction form
    13,733.28/18,950.76 = 7,764.12/x
  3. Step 3: Cross multiply
    13,733.28x = 18,950.76 × 7,764.12
  4. Step 4: Simplify right side
    13,733.28x = 147,135,974.73
  5. Step 5: Solve for x
    x = 147,135,974.73/13,733.28
  6. Step 6: Final answer
    x = 10,713.83

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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.