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Finding the Fourth Proportional to 22,414.23, 33,621.35 and 7,633.76

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Solution

The fourth proportional to 22,414.23, 33,621.35 and 7,633.76 is: 11,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.23 : 33,621.35 = 7,633.76 : x
  2. Step 2: Convert to fraction form
    22,414.23/33,621.35 = 7,633.76/x
  3. Step 3: Cross multiply
    22,414.23x = 33,621.35 × 7,633.76
  4. Step 4: Simplify right side
    22,414.23x = 256,657,110.50
  5. Step 5: Solve for x
    x = 256,657,110.50/22,414.23
  6. Step 6: Final answer
    x = 11,450.63

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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.