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Finding the Fourth Proportional to 27,893.86, 41,841.13 and 8,172.82

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Solution

The fourth proportional to 27,893.86, 41,841.13 and 8,172.82 is: 12,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.86 : 41,841.13 = 8,172.82 : x
  2. Step 2: Convert to fraction form
    27,893.86/41,841.13 = 8,172.82/x
  3. Step 3: Cross multiply
    27,893.86x = 41,841.13 × 8,172.82
  4. Step 4: Simplify right side
    27,893.86x = 341,959,858.91
  5. Step 5: Solve for x
    x = 341,959,858.91/27,893.86
  6. Step 6: Final answer
    x = 12,259.32

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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.