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Finding the Fourth Proportional to 21,633.21, 32,447.01 and 6,843.63

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Solution

The fourth proportional to 21,633.21, 32,447.01 and 6,843.63 is: 10,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.21 : 32,447.01 = 6,843.63 : x
  2. Step 2: Convert to fraction form
    21,633.21/32,447.01 = 6,843.63/x
  3. Step 3: Cross multiply
    21,633.21x = 32,447.01 × 6,843.63
  4. Step 4: Simplify right side
    21,633.21x = 222,055,331.05
  5. Step 5: Solve for x
    x = 222,055,331.05/21,633.21
  6. Step 6: Final answer
    x = 10,264.56

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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.