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Finding the Fourth Proportional to 20,906.48, 31,348.38 and 6,863.24

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Solution

The fourth proportional to 20,906.48, 31,348.38 and 6,863.24 is: 10,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.48 : 31,348.38 = 6,863.24 : x
  2. Step 2: Convert to fraction form
    20,906.48/31,348.38 = 6,863.24/x
  3. Step 3: Cross multiply
    20,906.48x = 31,348.38 × 6,863.24
  4. Step 4: Simplify right side
    20,906.48x = 215,151,455.55
  5. Step 5: Solve for x
    x = 215,151,455.55/20,906.48
  6. Step 6: Final answer
    x = 10,291.14

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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.