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Finding the Fourth Proportional to 20,793.14, 31,171.06 and 7,636.31

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Solution

The fourth proportional to 20,793.14, 31,171.06 and 7,636.31 is: 11,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.14 : 31,171.06 = 7,636.31 : x
  2. Step 2: Convert to fraction form
    20,793.14/31,171.06 = 7,636.31/x
  3. Step 3: Cross multiply
    20,793.14x = 31,171.06 × 7,636.31
  4. Step 4: Simplify right side
    20,793.14x = 238,031,847.77
  5. Step 5: Solve for x
    x = 238,031,847.77/20,793.14
  6. Step 6: Final answer
    x = 11,447.62

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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.