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Finding the Fourth Proportional to 20,413.85, 28,171.13 and 11,462.21

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Solution

The fourth proportional to 20,413.85, 28,171.13 and 11,462.21 is: 15,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.85 : 28,171.13 = 11,462.21 : x
  2. Step 2: Convert to fraction form
    20,413.85/28,171.13 = 11,462.21/x
  3. Step 3: Cross multiply
    20,413.85x = 28,171.13 × 11,462.21
  4. Step 4: Simplify right side
    20,413.85x = 322,903,350.69
  5. Step 5: Solve for x
    x = 322,903,350.69/20,413.85
  6. Step 6: Final answer
    x = 15,817.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.