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Finding the Fourth Proportional to 20,542.08, 30,809.92 and 5,749.44

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Solution

The fourth proportional to 20,542.08, 30,809.92 and 5,749.44 is: 8,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.08 : 30,809.92 = 5,749.44 : x
  2. Step 2: Convert to fraction form
    20,542.08/30,809.92 = 5,749.44/x
  3. Step 3: Cross multiply
    20,542.08x = 30,809.92 × 5,749.44
  4. Step 4: Simplify right side
    20,542.08x = 177,139,786.44
  5. Step 5: Solve for x
    x = 177,139,786.44/20,542.08
  6. Step 6: Final answer
    x = 8,623.26

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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.