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Finding the Fourth Proportional to 22,536, 33,819.36 and 7,944

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Solution

The fourth proportional to 22,536, 33,819.36 and 7,944 is: 11,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536 : 33,819.36 = 7,944 : x
  2. Step 2: Convert to fraction form
    22,536/33,819.36 = 7,944/x
  3. Step 3: Cross multiply
    22,536x = 33,819.36 × 7,944
  4. Step 4: Simplify right side
    22,536x = 268,660,995.84
  5. Step 5: Solve for x
    x = 268,660,995.84/22,536
  6. Step 6: Final answer
    x = 11,921.41

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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.