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Finding the Fourth Proportional to 20,221.25, 30,331.95 and 6,181.22

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Solution

The fourth proportional to 20,221.25, 30,331.95 and 6,181.22 is: 9,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.25 : 30,331.95 = 6,181.22 : x
  2. Step 2: Convert to fraction form
    20,221.25/30,331.95 = 6,181.22/x
  3. Step 3: Cross multiply
    20,221.25x = 30,331.95 × 6,181.22
  4. Step 4: Simplify right side
    20,221.25x = 187,488,425.07
  5. Step 5: Solve for x
    x = 187,488,425.07/20,221.25
  6. Step 6: Final answer
    x = 9,271.85

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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.