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Finding the Fourth Proportional to 27,662.34, 41,493.54 and 11,857.12

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Solution

The fourth proportional to 27,662.34, 41,493.54 and 11,857.12 is: 17,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.34 : 41,493.54 = 11,857.12 : x
  2. Step 2: Convert to fraction form
    27,662.34/41,493.54 = 11,857.12/x
  3. Step 3: Cross multiply
    27,662.34x = 41,493.54 × 11,857.12
  4. Step 4: Simplify right side
    27,662.34x = 491,993,779.27
  5. Step 5: Solve for x
    x = 491,993,779.27/27,662.34
  6. Step 6: Final answer
    x = 17,785.69

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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.