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Finding the Fourth Proportional to 22,524, 33,790.48 and 6,940.96

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Solution

The fourth proportional to 22,524, 33,790.48 and 6,940.96 is: 10,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524 : 33,790.48 = 6,940.96 : x
  2. Step 2: Convert to fraction form
    22,524/33,790.48 = 6,940.96/x
  3. Step 3: Cross multiply
    22,524x = 33,790.48 × 6,940.96
  4. Step 4: Simplify right side
    22,524x = 234,538,370.06
  5. Step 5: Solve for x
    x = 234,538,370.06/22,524
  6. Step 6: Final answer
    x = 10,412.82

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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.