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Finding the Fourth Proportional to 24,843.07, 37,265.80 and 8,202.73

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Solution

The fourth proportional to 24,843.07, 37,265.80 and 8,202.73 is: 12,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.07 : 37,265.80 = 8,202.73 : x
  2. Step 2: Convert to fraction form
    24,843.07/37,265.80 = 8,202.73/x
  3. Step 3: Cross multiply
    24,843.07x = 37,265.80 × 8,202.73
  4. Step 4: Simplify right side
    24,843.07x = 305,681,296.55
  5. Step 5: Solve for x
    x = 305,681,296.55/24,843.07
  6. Step 6: Final answer
    x = 12,304.49

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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.