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Finding the Fourth Proportional to 27,923.43, 41,878.94 and 8,196.69

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Solution

The fourth proportional to 27,923.43, 41,878.94 and 8,196.69 is: 12,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923.43 : 41,878.94 = 8,196.69 : x
  2. Step 2: Convert to fraction form
    27,923.43/41,878.94 = 8,196.69/x
  3. Step 3: Cross multiply
    27,923.43x = 41,878.94 × 8,196.69
  4. Step 4: Simplify right side
    27,923.43x = 343,268,647.73
  5. Step 5: Solve for x
    x = 343,268,647.73/27,923.43
  6. Step 6: Final answer
    x = 12,293.21

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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.