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Finding the Fourth Proportional to 20,793.22, 31,189.97 and 8,314.29

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Solution

The fourth proportional to 20,793.22, 31,189.97 and 8,314.29 is: 12,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.22 : 31,189.97 = 8,314.29 : x
  2. Step 2: Convert to fraction form
    20,793.22/31,189.97 = 8,314.29/x
  3. Step 3: Cross multiply
    20,793.22x = 31,189.97 × 8,314.29
  4. Step 4: Simplify right side
    20,793.22x = 259,322,492.07
  5. Step 5: Solve for x
    x = 259,322,492.07/20,793.22
  6. Step 6: Final answer
    x = 12,471.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.