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Finding the Fourth Proportional to 12,269.43, 16,922.66 and 8,286.39

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Solution

The fourth proportional to 12,269.43, 16,922.66 and 8,286.39 is: 11,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.43 : 16,922.66 = 8,286.39 : x
  2. Step 2: Convert to fraction form
    12,269.43/16,922.66 = 8,286.39/x
  3. Step 3: Cross multiply
    12,269.43x = 16,922.66 × 8,286.39
  4. Step 4: Simplify right side
    12,269.43x = 140,227,719.17
  5. Step 5: Solve for x
    x = 140,227,719.17/12,269.43
  6. Step 6: Final answer
    x = 11,429.03

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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.