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Finding the Fourth Proportional to 20,144.31, 30,216.33 and 7,832.31

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Solution

The fourth proportional to 20,144.31, 30,216.33 and 7,832.31 is: 11,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.31 : 30,216.33 = 7,832.31 : x
  2. Step 2: Convert to fraction form
    20,144.31/30,216.33 = 7,832.31/x
  3. Step 3: Cross multiply
    20,144.31x = 30,216.33 × 7,832.31
  4. Step 4: Simplify right side
    20,144.31x = 236,663,663.62
  5. Step 5: Solve for x
    x = 236,663,663.62/20,144.31
  6. Step 6: Final answer
    x = 11,748.41

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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.