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Finding the Fourth Proportional to 21,227.90, 31,837.76 and 20,174.22

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Solution

The fourth proportional to 21,227.90, 31,837.76 and 20,174.22 is: 30,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.90 : 31,837.76 = 20,174.22 : x
  2. Step 2: Convert to fraction form
    21,227.90/31,837.76 = 20,174.22/x
  3. Step 3: Cross multiply
    21,227.90x = 31,837.76 × 20,174.22
  4. Step 4: Simplify right side
    21,227.90x = 642,301,974.55
  5. Step 5: Solve for x
    x = 642,301,974.55/21,227.90
  6. Step 6: Final answer
    x = 30,257.44

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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.