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Finding the Fourth Proportional to 27,740.94, 41,605.20 and 8,015.10

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Solution

The fourth proportional to 27,740.94, 41,605.20 and 8,015.10 is: 12,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.94 : 41,605.20 = 8,015.10 : x
  2. Step 2: Convert to fraction form
    27,740.94/41,605.20 = 8,015.10/x
  3. Step 3: Cross multiply
    27,740.94x = 41,605.20 × 8,015.10
  4. Step 4: Simplify right side
    27,740.94x = 333,469,838.52
  5. Step 5: Solve for x
    x = 333,469,838.52/27,740.94
  6. Step 6: Final answer
    x = 12,020.86

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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.