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Finding the Fourth Proportional to 20,805.85, 31,221.14 and 7,667.44

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Solution

The fourth proportional to 20,805.85, 31,221.14 and 7,667.44 is: 11,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.85 : 31,221.14 = 7,667.44 : x
  2. Step 2: Convert to fraction form
    20,805.85/31,221.14 = 7,667.44/x
  3. Step 3: Cross multiply
    20,805.85x = 31,221.14 × 7,667.44
  4. Step 4: Simplify right side
    20,805.85x = 239,386,179.34
  5. Step 5: Solve for x
    x = 239,386,179.34/20,805.85
  6. Step 6: Final answer
    x = 11,505.71

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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.