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Finding the Fourth Proportional to 27,996.84, 41,994.99 and 8,275.77

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Solution

The fourth proportional to 27,996.84, 41,994.99 and 8,275.77 is: 12,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.84 : 41,994.99 = 8,275.77 : x
  2. Step 2: Convert to fraction form
    27,996.84/41,994.99 = 8,275.77/x
  3. Step 3: Cross multiply
    27,996.84x = 41,994.99 × 8,275.77
  4. Step 4: Simplify right side
    27,996.84x = 347,540,878.39
  5. Step 5: Solve for x
    x = 347,540,878.39/27,996.84
  6. Step 6: Final answer
    x = 12,413.58

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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.