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Finding the Fourth Proportional to 20,517.15, 30,775.73 and 11,745.89

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Solution

The fourth proportional to 20,517.15, 30,775.73 and 11,745.89 is: 17,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.15 : 30,775.73 = 11,745.89 : x
  2. Step 2: Convert to fraction form
    20,517.15/30,775.73 = 11,745.89/x
  3. Step 3: Cross multiply
    20,517.15x = 30,775.73 × 11,745.89
  4. Step 4: Simplify right side
    20,517.15x = 361,488,339.25
  5. Step 5: Solve for x
    x = 361,488,339.25/20,517.15
  6. Step 6: Final answer
    x = 17,618.84

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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.