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Finding the Fourth Proportional to 24,871.97, 37,310.00 and 10,832.46

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Solution

The fourth proportional to 24,871.97, 37,310.00 and 10,832.46 is: 16,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.97 : 37,310.00 = 10,832.46 : x
  2. Step 2: Convert to fraction form
    24,871.97/37,310.00 = 10,832.46/x
  3. Step 3: Cross multiply
    24,871.97x = 37,310.00 × 10,832.46
  4. Step 4: Simplify right side
    24,871.97x = 404,159,028.44
  5. Step 5: Solve for x
    x = 404,159,028.44/24,871.97
  6. Step 6: Final answer
    x = 16,249.58

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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.