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Finding the Fourth Proportional to 20,968.15, 31,451.21 and 7,819.50

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Solution

The fourth proportional to 20,968.15, 31,451.21 and 7,819.50 is: 11,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,968.15 : 31,451.21 = 7,819.50 : x
  2. Step 2: Convert to fraction form
    20,968.15/31,451.21 = 7,819.50/x
  3. Step 3: Cross multiply
    20,968.15x = 31,451.21 × 7,819.50
  4. Step 4: Simplify right side
    20,968.15x = 245,932,736.60
  5. Step 5: Solve for x
    x = 245,932,736.60/20,968.15
  6. Step 6: Final answer
    x = 11,728.87

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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.