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Finding the Fourth Proportional to 21,846.84, 32,738.54 and 11,843.12

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Solution

The fourth proportional to 21,846.84, 32,738.54 and 11,843.12 is: 17,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.84 : 32,738.54 = 11,843.12 : x
  2. Step 2: Convert to fraction form
    21,846.84/32,738.54 = 11,843.12/x
  3. Step 3: Cross multiply
    21,846.84x = 32,738.54 × 11,843.12
  4. Step 4: Simplify right side
    21,846.84x = 387,726,234.94
  5. Step 5: Solve for x
    x = 387,726,234.94/21,846.84
  6. Step 6: Final answer
    x = 17,747.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.