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Finding the Fourth Proportional to 20,897.80, 31,338.90 and 8,413.61

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Solution

The fourth proportional to 20,897.80, 31,338.90 and 8,413.61 is: 12,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.80 : 31,338.90 = 8,413.61 : x
  2. Step 2: Convert to fraction form
    20,897.80/31,338.90 = 8,413.61/x
  3. Step 3: Cross multiply
    20,897.80x = 31,338.90 × 8,413.61
  4. Step 4: Simplify right side
    20,897.80x = 263,673,125.73
  5. Step 5: Solve for x
    x = 263,673,125.73/20,897.80
  6. Step 6: Final answer
    x = 12,617.27

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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.