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Finding the Fourth Proportional to 22,298.82, 33,443.96 and 11,202.43

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Solution

The fourth proportional to 22,298.82, 33,443.96 and 11,202.43 is: 16,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.82 : 33,443.96 = 11,202.43 : x
  2. Step 2: Convert to fraction form
    22,298.82/33,443.96 = 11,202.43/x
  3. Step 3: Cross multiply
    22,298.82x = 33,443.96 × 11,202.43
  4. Step 4: Simplify right side
    22,298.82x = 374,653,453.60
  5. Step 5: Solve for x
    x = 374,653,453.60/22,298.82
  6. Step 6: Final answer
    x = 16,801.50

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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.