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Finding the Fourth Proportional to 16,840.62, 23,238.97 and 9,286.54

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Solution

The fourth proportional to 16,840.62, 23,238.97 and 9,286.54 is: 12,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840.62 : 23,238.97 = 9,286.54 : x
  2. Step 2: Convert to fraction form
    16,840.62/23,238.97 = 9,286.54/x
  3. Step 3: Cross multiply
    16,840.62x = 23,238.97 × 9,286.54
  4. Step 4: Simplify right side
    16,840.62x = 215,809,624.46
  5. Step 5: Solve for x
    x = 215,809,624.46/16,840.62
  6. Step 6: Final answer
    x = 12,814.83

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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.