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Finding the Fourth Proportional to 24,464.44, 33,761.10 and 13,286.44

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Solution

The fourth proportional to 24,464.44, 33,761.10 and 13,286.44 is: 18,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.44 : 33,761.10 = 13,286.44 : x
  2. Step 2: Convert to fraction form
    24,464.44/33,761.10 = 13,286.44/x
  3. Step 3: Cross multiply
    24,464.44x = 33,761.10 × 13,286.44
  4. Step 4: Simplify right side
    24,464.44x = 448,564,829.48
  5. Step 5: Solve for x
    x = 448,564,829.48/24,464.44
  6. Step 6: Final answer
    x = 18,335.38

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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.