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Finding the Fourth Proportional to 20,770.92, 31,163.94 and 9,092.34

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Solution

The fourth proportional to 20,770.92, 31,163.94 and 9,092.34 is: 13,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.92 : 31,163.94 = 9,092.34 : x
  2. Step 2: Convert to fraction form
    20,770.92/31,163.94 = 9,092.34/x
  3. Step 3: Cross multiply
    20,770.92x = 31,163.94 × 9,092.34
  4. Step 4: Simplify right side
    20,770.92x = 283,353,138.22
  5. Step 5: Solve for x
    x = 283,353,138.22/20,770.92
  6. Step 6: Final answer
    x = 13,641.82

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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.