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Finding the Fourth Proportional to 24,467, 33,767.34 and 14,531

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Solution

The fourth proportional to 24,467, 33,767.34 and 14,531 is: 20,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467 : 33,767.34 = 14,531 : x
  2. Step 2: Convert to fraction form
    24,467/33,767.34 = 14,531/x
  3. Step 3: Cross multiply
    24,467x = 33,767.34 × 14,531
  4. Step 4: Simplify right side
    24,467x = 490,673,217.54
  5. Step 5: Solve for x
    x = 490,673,217.54/24,467
  6. Step 6: Final answer
    x = 20,054.49

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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.