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Finding the Fourth Proportional to 22,363.98, 33,533.01 and 9,201.48

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Solution

The fourth proportional to 22,363.98, 33,533.01 and 9,201.48 is: 13,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363.98 : 33,533.01 = 9,201.48 : x
  2. Step 2: Convert to fraction form
    22,363.98/33,533.01 = 9,201.48/x
  3. Step 3: Cross multiply
    22,363.98x = 33,533.01 × 9,201.48
  4. Step 4: Simplify right side
    22,363.98x = 308,553,320.85
  5. Step 5: Solve for x
    x = 308,553,320.85/22,363.98
  6. Step 6: Final answer
    x = 13,796.89

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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.