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Finding the Fourth Proportional to 22,544.82, 33,822.80 and 6,962.45

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Solution

The fourth proportional to 22,544.82, 33,822.80 and 6,962.45 is: 10,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.82 : 33,822.80 = 6,962.45 : x
  2. Step 2: Convert to fraction form
    22,544.82/33,822.80 = 6,962.45/x
  3. Step 3: Cross multiply
    22,544.82x = 33,822.80 × 6,962.45
  4. Step 4: Simplify right side
    22,544.82x = 235,489,349.93
  5. Step 5: Solve for x
    x = 235,489,349.93/22,544.82
  6. Step 6: Final answer
    x = 10,445.39

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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.