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Finding the Fourth Proportional to 24,404, 33,677.56 and 13,226

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Solution

The fourth proportional to 24,404, 33,677.56 and 13,226 is: 18,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,404 : 33,677.56 = 13,226 : x
  2. Step 2: Convert to fraction form
    24,404/33,677.56 = 13,226/x
  3. Step 3: Cross multiply
    24,404x = 33,677.56 × 13,226
  4. Step 4: Simplify right side
    24,404x = 445,419,408.56
  5. Step 5: Solve for x
    x = 445,419,408.56/24,404
  6. Step 6: Final answer
    x = 18,251.90

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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.