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Finding the Fourth Proportional to 20,800.36, 28,690.34 and 12,413.80

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Solution

The fourth proportional to 20,800.36, 28,690.34 and 12,413.80 is: 17,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.36 : 28,690.34 = 12,413.80 : x
  2. Step 2: Convert to fraction form
    20,800.36/28,690.34 = 12,413.80/x
  3. Step 3: Cross multiply
    20,800.36x = 28,690.34 × 12,413.80
  4. Step 4: Simplify right side
    20,800.36x = 356,156,142.69
  5. Step 5: Solve for x
    x = 356,156,142.69/20,800.36
  6. Step 6: Final answer
    x = 17,122.60

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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.