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Finding the Fourth Proportional to 12,268.82, 16,928.89 and 7,231.12

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Solution

The fourth proportional to 12,268.82, 16,928.89 and 7,231.12 is: 9,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.82 : 16,928.89 = 7,231.12 : x
  2. Step 2: Convert to fraction form
    12,268.82/16,928.89 = 7,231.12/x
  3. Step 3: Cross multiply
    12,268.82x = 16,928.89 × 7,231.12
  4. Step 4: Simplify right side
    12,268.82x = 122,414,774.66
  5. Step 5: Solve for x
    x = 122,414,774.66/12,268.82
  6. Step 6: Final answer
    x = 9,977.71

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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.