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Finding the Fourth Proportional to 21,481.32, 29,644.38 and 11,921.24

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Solution

The fourth proportional to 21,481.32, 29,644.38 and 11,921.24 is: 16,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.32 : 29,644.38 = 11,921.24 : x
  2. Step 2: Convert to fraction form
    21,481.32/29,644.38 = 11,921.24/x
  3. Step 3: Cross multiply
    21,481.32x = 29,644.38 × 11,921.24
  4. Step 4: Simplify right side
    21,481.32x = 353,397,842.74
  5. Step 5: Solve for x
    x = 353,397,842.74/21,481.32
  6. Step 6: Final answer
    x = 16,451.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.