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Finding the Fourth Proportional to 21,149.27, 29,185.90 and 11,589.14

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Solution

The fourth proportional to 21,149.27, 29,185.90 and 11,589.14 is: 15,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.27 : 29,185.90 = 11,589.14 : x
  2. Step 2: Convert to fraction form
    21,149.27/29,185.90 = 11,589.14/x
  3. Step 3: Cross multiply
    21,149.27x = 29,185.90 × 11,589.14
  4. Step 4: Simplify right side
    21,149.27x = 338,239,525.12
  5. Step 5: Solve for x
    x = 338,239,525.12/21,149.27
  6. Step 6: Final answer
    x = 15,992.97

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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.