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Finding the Fourth Proportional to 16,711.91, 23,062.73 and 9,157.73

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Solution

The fourth proportional to 16,711.91, 23,062.73 and 9,157.73 is: 12,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.91 : 23,062.73 = 9,157.73 : x
  2. Step 2: Convert to fraction form
    16,711.91/23,062.73 = 9,157.73/x
  3. Step 3: Cross multiply
    16,711.91x = 23,062.73 × 9,157.73
  4. Step 4: Simplify right side
    16,711.91x = 211,202,266.27
  5. Step 5: Solve for x
    x = 211,202,266.27/16,711.91
  6. Step 6: Final answer
    x = 12,637.83

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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.