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Finding the Fourth Proportional to 27,832.98, 41,756.39 and 8,111.71

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Solution

The fourth proportional to 27,832.98, 41,756.39 and 8,111.71 is: 12,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.98 : 41,756.39 = 8,111.71 : x
  2. Step 2: Convert to fraction form
    27,832.98/41,756.39 = 8,111.71/x
  3. Step 3: Cross multiply
    27,832.98x = 41,756.39 × 8,111.71
  4. Step 4: Simplify right side
    27,832.98x = 338,715,476.99
  5. Step 5: Solve for x
    x = 338,715,476.99/27,832.98
  6. Step 6: Final answer
    x = 12,169.57

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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.