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Finding the Fourth Proportional to 24,469.48, 36,706.64 and 7,825.33

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Solution

The fourth proportional to 24,469.48, 36,706.64 and 7,825.33 is: 11,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.48 : 36,706.64 = 7,825.33 : x
  2. Step 2: Convert to fraction form
    24,469.48/36,706.64 = 7,825.33/x
  3. Step 3: Cross multiply
    24,469.48x = 36,706.64 × 7,825.33
  4. Step 4: Simplify right side
    24,469.48x = 287,241,348.53
  5. Step 5: Solve for x
    x = 287,241,348.53/24,469.48
  6. Step 6: Final answer
    x = 11,738.76

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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.