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Finding the Fourth Proportional to 21,198.57, 29,254.92 and 11,767.14

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Solution

The fourth proportional to 21,198.57, 29,254.92 and 11,767.14 is: 16,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.57 : 29,254.92 = 11,767.14 : x
  2. Step 2: Convert to fraction form
    21,198.57/29,254.92 = 11,767.14/x
  3. Step 3: Cross multiply
    21,198.57x = 29,254.92 × 11,767.14
  4. Step 4: Simplify right side
    21,198.57x = 344,246,739.33
  5. Step 5: Solve for x
    x = 344,246,739.33/21,198.57
  6. Step 6: Final answer
    x = 16,239.15

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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.