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Finding the Fourth Proportional to 21,074.26, 29,082.90 and 11,643.16

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Solution

The fourth proportional to 21,074.26, 29,082.90 and 11,643.16 is: 16,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.26 : 29,082.90 = 11,643.16 : x
  2. Step 2: Convert to fraction form
    21,074.26/29,082.90 = 11,643.16/x
  3. Step 3: Cross multiply
    21,074.26x = 29,082.90 × 11,643.16
  4. Step 4: Simplify right side
    21,074.26x = 338,616,857.96
  5. Step 5: Solve for x
    x = 338,616,857.96/21,074.26
  6. Step 6: Final answer
    x = 16,067.79

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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.