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Finding the Fourth Proportional to 24,910.62, 37,353.69 and 8,265

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Solution

The fourth proportional to 24,910.62, 37,353.69 and 8,265 is: 12,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,910.62 : 37,353.69 = 8,265 : x
  2. Step 2: Convert to fraction form
    24,910.62/37,353.69 = 8,265/x
  3. Step 3: Cross multiply
    24,910.62x = 37,353.69 × 8,265
  4. Step 4: Simplify right side
    24,910.62x = 308,728,247.85
  5. Step 5: Solve for x
    x = 308,728,247.85/24,910.62
  6. Step 6: Final answer
    x = 12,393.44

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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.