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Finding the Fourth Proportional to 22,665.24, 33,978.36 and 8,617.44

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Solution

The fourth proportional to 22,665.24, 33,978.36 and 8,617.44 is: 12,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.24 : 33,978.36 = 8,617.44 : x
  2. Step 2: Convert to fraction form
    22,665.24/33,978.36 = 8,617.44/x
  3. Step 3: Cross multiply
    22,665.24x = 33,978.36 × 8,617.44
  4. Step 4: Simplify right side
    22,665.24x = 292,806,478.60
  5. Step 5: Solve for x
    x = 292,806,478.60/22,665.24
  6. Step 6: Final answer
    x = 12,918.75

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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.