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Finding the Fourth Proportional to 17,633.73, 26,463.38 and 6,542.00

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Solution

The fourth proportional to 17,633.73, 26,463.38 and 6,542.00 is: 9,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.73 : 26,463.38 = 6,542.00 : x
  2. Step 2: Convert to fraction form
    17,633.73/26,463.38 = 6,542.00/x
  3. Step 3: Cross multiply
    17,633.73x = 26,463.38 × 6,542.00
  4. Step 4: Simplify right side
    17,633.73x = 173,123,266.93
  5. Step 5: Solve for x
    x = 173,123,266.93/17,633.73
  6. Step 6: Final answer
    x = 9,817.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.