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Finding the Fourth Proportional to 16,783.73, 23,161.03 and 9,229.02

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Solution

The fourth proportional to 16,783.73, 23,161.03 and 9,229.02 is: 12,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.73 : 23,161.03 = 9,229.02 : x
  2. Step 2: Convert to fraction form
    16,783.73/23,161.03 = 9,229.02/x
  3. Step 3: Cross multiply
    16,783.73x = 23,161.03 × 9,229.02
  4. Step 4: Simplify right side
    16,783.73x = 213,753,562.95
  5. Step 5: Solve for x
    x = 213,753,562.95/16,783.73
  6. Step 6: Final answer
    x = 12,735.76

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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.