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Finding the Fourth Proportional to 20,845, 28,766.10 and 11,413.63

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Solution

The fourth proportional to 20,845, 28,766.10 and 11,413.63 is: 15,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,845 : 28,766.10 = 11,413.63 : x
  2. Step 2: Convert to fraction form
    20,845/28,766.10 = 11,413.63/x
  3. Step 3: Cross multiply
    20,845x = 28,766.10 × 11,413.63
  4. Step 4: Simplify right side
    20,845x = 328,325,621.94
  5. Step 5: Solve for x
    x = 328,325,621.94/20,845
  6. Step 6: Final answer
    x = 15,750.81

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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.