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Finding the Fourth Proportional to 20,791.49, 31,201.00 and 7,643.97

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Solution

The fourth proportional to 20,791.49, 31,201.00 and 7,643.97 is: 11,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.49 : 31,201.00 = 7,643.97 : x
  2. Step 2: Convert to fraction form
    20,791.49/31,201.00 = 7,643.97/x
  3. Step 3: Cross multiply
    20,791.49x = 31,201.00 × 7,643.97
  4. Step 4: Simplify right side
    20,791.49x = 238,499,488.86
  5. Step 5: Solve for x
    x = 238,499,488.86/20,791.49
  6. Step 6: Final answer
    x = 11,471.02

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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.