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Finding the Fourth Proportional to 20,067.24, 27,699 and 11,575.08

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Solution

The fourth proportional to 20,067.24, 27,699 and 11,575.08 is: 15,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.24 : 27,699 = 11,575.08 : x
  2. Step 2: Convert to fraction form
    20,067.24/27,699 = 11,575.08/x
  3. Step 3: Cross multiply
    20,067.24x = 27,699 × 11,575.08
  4. Step 4: Simplify right side
    20,067.24x = 320,618,140.92
  5. Step 5: Solve for x
    x = 320,618,140.92/20,067.24
  6. Step 6: Final answer
    x = 15,977.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.