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Finding the Fourth Proportional to 20,822.34, 31,227.63 and 7,493.39

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Solution

The fourth proportional to 20,822.34, 31,227.63 and 7,493.39 is: 11,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.34 : 31,227.63 = 7,493.39 : x
  2. Step 2: Convert to fraction form
    20,822.34/31,227.63 = 7,493.39/x
  3. Step 3: Cross multiply
    20,822.34x = 31,227.63 × 7,493.39
  4. Step 4: Simplify right side
    20,822.34x = 234,000,654.23
  5. Step 5: Solve for x
    x = 234,000,654.23/20,822.34
  6. Step 6: Final answer
    x = 11,237.96

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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.