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Finding the Fourth Proportional to 27,542.08, 41,305.74 and 11,956

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Solution

The fourth proportional to 27,542.08, 41,305.74 and 11,956 is: 17,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.08 : 41,305.74 = 11,956 : x
  2. Step 2: Convert to fraction form
    27,542.08/41,305.74 = 11,956/x
  3. Step 3: Cross multiply
    27,542.08x = 41,305.74 × 11,956
  4. Step 4: Simplify right side
    27,542.08x = 493,851,427.44
  5. Step 5: Solve for x
    x = 493,851,427.44/27,542.08
  6. Step 6: Final answer
    x = 17,930.80

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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.