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Finding the Fourth Proportional to 24,625, 33,982.68 and 13,447

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Solution

The fourth proportional to 24,625, 33,982.68 and 13,447 is: 18,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,625 : 33,982.68 = 13,447 : x
  2. Step 2: Convert to fraction form
    24,625/33,982.68 = 13,447/x
  3. Step 3: Cross multiply
    24,625x = 33,982.68 × 13,447
  4. Step 4: Simplify right side
    24,625x = 456,965,097.96
  5. Step 5: Solve for x
    x = 456,965,097.96/24,625
  6. Step 6: Final answer
    x = 18,556.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.