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Finding the Fourth Proportional to 21,074.31, 29,082.56 and 11,642.87

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Solution

The fourth proportional to 21,074.31, 29,082.56 and 11,642.87 is: 16,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.31 : 29,082.56 = 11,642.87 : x
  2. Step 2: Convert to fraction form
    21,074.31/29,082.56 = 11,642.87/x
  3. Step 3: Cross multiply
    21,074.31x = 29,082.56 × 11,642.87
  4. Step 4: Simplify right side
    21,074.31x = 338,604,479.84
  5. Step 5: Solve for x
    x = 338,604,479.84/21,074.31
  6. Step 6: Final answer
    x = 16,067.17

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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.