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Finding the Fourth Proportional to 24,413.80, 36,620.70 and 7,997.80

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Solution

The fourth proportional to 24,413.80, 36,620.70 and 7,997.80 is: 11,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.80 : 36,620.70 = 7,997.80 : x
  2. Step 2: Convert to fraction form
    24,413.80/36,620.70 = 7,997.80/x
  3. Step 3: Cross multiply
    24,413.80x = 36,620.70 × 7,997.80
  4. Step 4: Simplify right side
    24,413.80x = 292,885,034.46
  5. Step 5: Solve for x
    x = 292,885,034.46/24,413.80
  6. Step 6: Final answer
    x = 11,996.70

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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.