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Finding the Fourth Proportional to 23,962.52, 35,959.77 and 8,380.14

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Solution

The fourth proportional to 23,962.52, 35,959.77 and 8,380.14 is: 12,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,962.52 : 35,959.77 = 8,380.14 : x
  2. Step 2: Convert to fraction form
    23,962.52/35,959.77 = 8,380.14/x
  3. Step 3: Cross multiply
    23,962.52x = 35,959.77 × 8,380.14
  4. Step 4: Simplify right side
    23,962.52x = 301,347,906.97
  5. Step 5: Solve for x
    x = 301,347,906.97/23,962.52
  6. Step 6: Final answer
    x = 12,575.80

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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.