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Finding the Fourth Proportional to 21,169.44, 29,214 and 11,738.16

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Solution

The fourth proportional to 21,169.44, 29,214 and 11,738.16 is: 16,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.44 : 29,214 = 11,738.16 : x
  2. Step 2: Convert to fraction form
    21,169.44/29,214 = 11,738.16/x
  3. Step 3: Cross multiply
    21,169.44x = 29,214 × 11,738.16
  4. Step 4: Simplify right side
    21,169.44x = 342,918,606.24
  5. Step 5: Solve for x
    x = 342,918,606.24/21,169.44
  6. Step 6: Final answer
    x = 16,198.76

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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.