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Finding the Fourth Proportional to 22,365.98, 33,536 and 9,203.48

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Solution

The fourth proportional to 22,365.98, 33,536 and 9,203.48 is: 13,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.98 : 33,536 = 9,203.48 : x
  2. Step 2: Convert to fraction form
    22,365.98/33,536 = 9,203.48/x
  3. Step 3: Cross multiply
    22,365.98x = 33,536 × 9,203.48
  4. Step 4: Simplify right side
    22,365.98x = 308,647,905.28
  5. Step 5: Solve for x
    x = 308,647,905.28/22,365.98
  6. Step 6: Final answer
    x = 13,799.88

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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.