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Finding the Fourth Proportional to 21,647.25, 32,471.82 and 6,857.26

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Solution

The fourth proportional to 21,647.25, 32,471.82 and 6,857.26 is: 10,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.25 : 32,471.82 = 6,857.26 : x
  2. Step 2: Convert to fraction form
    21,647.25/32,471.82 = 6,857.26/x
  3. Step 3: Cross multiply
    21,647.25x = 32,471.82 × 6,857.26
  4. Step 4: Simplify right side
    21,647.25x = 222,667,631.23
  5. Step 5: Solve for x
    x = 222,667,631.23/21,647.25
  6. Step 6: Final answer
    x = 10,286.19

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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.