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Finding the Fourth Proportional to 20,770.93, 31,169.40 and 8,289.10

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Solution

The fourth proportional to 20,770.93, 31,169.40 and 8,289.10 is: 12,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.93 : 31,169.40 = 8,289.10 : x
  2. Step 2: Convert to fraction form
    20,770.93/31,169.40 = 8,289.10/x
  3. Step 3: Cross multiply
    20,770.93x = 31,169.40 × 8,289.10
  4. Step 4: Simplify right side
    20,770.93x = 258,366,273.54
  5. Step 5: Solve for x
    x = 258,366,273.54/20,770.93
  6. Step 6: Final answer
    x = 12,438.84

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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.