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Finding the Fourth Proportional to 21,261.38, 31,893.41 and 6,471.38

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Solution

The fourth proportional to 21,261.38, 31,893.41 and 6,471.38 is: 9,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.38 : 31,893.41 = 6,471.38 : x
  2. Step 2: Convert to fraction form
    21,261.38/31,893.41 = 6,471.38/x
  3. Step 3: Cross multiply
    21,261.38x = 31,893.41 × 6,471.38
  4. Step 4: Simplify right side
    21,261.38x = 206,394,471.52
  5. Step 5: Solve for x
    x = 206,394,471.52/21,261.38
  6. Step 6: Final answer
    x = 9,707.48

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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.