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Finding the Fourth Proportional to 24,517, 33,834 and 13,339

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Solution

The fourth proportional to 24,517, 33,834 and 13,339 is: 18,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517 : 33,834 = 13,339 : x
  2. Step 2: Convert to fraction form
    24,517/33,834 = 13,339/x
  3. Step 3: Cross multiply
    24,517x = 33,834 × 13,339
  4. Step 4: Simplify right side
    24,517x = 451,311,726
  5. Step 5: Solve for x
    x = 451,311,726/24,517
  6. Step 6: Final answer
    x = 18,408.11

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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.