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Finding the Fourth Proportional to 20,817.55, 31,242.73 and 7,679.15

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Solution

The fourth proportional to 20,817.55, 31,242.73 and 7,679.15 is: 11,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.55 : 31,242.73 = 7,679.15 : x
  2. Step 2: Convert to fraction form
    20,817.55/31,242.73 = 7,679.15/x
  3. Step 3: Cross multiply
    20,817.55x = 31,242.73 × 7,679.15
  4. Step 4: Simplify right side
    20,817.55x = 239,917,610.08
  5. Step 5: Solve for x
    x = 239,917,610.08/20,817.55
  6. Step 6: Final answer
    x = 11,524.78

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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.