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Finding the Fourth Proportional to 20,216.67, 30,323.98 and 7,735.73

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Solution

The fourth proportional to 20,216.67, 30,323.98 and 7,735.73 is: 11,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.67 : 30,323.98 = 7,735.73 : x
  2. Step 2: Convert to fraction form
    20,216.67/30,323.98 = 7,735.73/x
  3. Step 3: Cross multiply
    20,216.67x = 30,323.98 × 7,735.73
  4. Step 4: Simplify right side
    20,216.67x = 234,578,178.28
  5. Step 5: Solve for x
    x = 234,578,178.28/20,216.67
  6. Step 6: Final answer
    x = 11,603.21

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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.