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Finding the Fourth Proportional to 22,427.52, 33,644.97 and 6,841.50

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Solution

The fourth proportional to 22,427.52, 33,644.97 and 6,841.50 is: 10,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.52 : 33,644.97 = 6,841.50 : x
  2. Step 2: Convert to fraction form
    22,427.52/33,644.97 = 6,841.50/x
  3. Step 3: Cross multiply
    22,427.52x = 33,644.97 × 6,841.50
  4. Step 4: Simplify right side
    22,427.52x = 230,182,062.26
  5. Step 5: Solve for x
    x = 230,182,062.26/22,427.52
  6. Step 6: Final answer
    x = 10,263.38

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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.