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Finding the Fourth Proportional to 20,413.70, 28,168.81 and 11,462.19

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Solution

The fourth proportional to 20,413.70, 28,168.81 and 11,462.19 is: 15,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.70 : 28,168.81 = 11,462.19 : x
  2. Step 2: Convert to fraction form
    20,413.70/28,168.81 = 11,462.19/x
  3. Step 3: Cross multiply
    20,413.70x = 28,168.81 × 11,462.19
  4. Step 4: Simplify right side
    20,413.70x = 322,876,252.29
  5. Step 5: Solve for x
    x = 322,876,252.29/20,413.70
  6. Step 6: Final answer
    x = 15,816.65

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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.