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Finding the Fourth Proportional to 20,874.24, 31,296.24 and 7,542.72

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Solution

The fourth proportional to 20,874.24, 31,296.24 and 7,542.72 is: 11,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.24 : 31,296.24 = 7,542.72 : x
  2. Step 2: Convert to fraction form
    20,874.24/31,296.24 = 7,542.72/x
  3. Step 3: Cross multiply
    20,874.24x = 31,296.24 × 7,542.72
  4. Step 4: Simplify right side
    20,874.24x = 236,058,775.37
  5. Step 5: Solve for x
    x = 236,058,775.37/20,874.24
  6. Step 6: Final answer
    x = 11,308.62

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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.