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Finding the Fourth Proportional to 12,268.89, 16,930.31 and 6,965.37

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Solution

The fourth proportional to 12,268.89, 16,930.31 and 6,965.37 is: 9,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.89 : 16,930.31 = 6,965.37 : x
  2. Step 2: Convert to fraction form
    12,268.89/16,930.31 = 6,965.37/x
  3. Step 3: Cross multiply
    12,268.89x = 16,930.31 × 6,965.37
  4. Step 4: Simplify right side
    12,268.89x = 117,925,838.54
  5. Step 5: Solve for x
    x = 117,925,838.54/12,268.89
  6. Step 6: Final answer
    x = 9,611.78

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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.