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Finding the Fourth Proportional to 20,745.35, 31,117.97 and 5,162.97

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Solution

The fourth proportional to 20,745.35, 31,117.97 and 5,162.97 is: 7,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745.35 : 31,117.97 = 5,162.97 : x
  2. Step 2: Convert to fraction form
    20,745.35/31,117.97 = 5,162.97/x
  3. Step 3: Cross multiply
    20,745.35x = 31,117.97 × 5,162.97
  4. Step 4: Simplify right side
    20,745.35x = 160,661,119.76
  5. Step 5: Solve for x
    x = 160,661,119.76/20,745.35
  6. Step 6: Final answer
    x = 7,744.44

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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.