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Finding the Fourth Proportional to 12,268.84, 16,924.26 and 7,789.56

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Solution

The fourth proportional to 12,268.84, 16,924.26 and 7,789.56 is: 10,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.84 : 16,924.26 = 7,789.56 : x
  2. Step 2: Convert to fraction form
    12,268.84/16,924.26 = 7,789.56/x
  3. Step 3: Cross multiply
    12,268.84x = 16,924.26 × 7,789.56
  4. Step 4: Simplify right side
    12,268.84x = 131,832,538.73
  5. Step 5: Solve for x
    x = 131,832,538.73/12,268.84
  6. Step 6: Final answer
    x = 10,745.31

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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.