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Finding the Fourth Proportional to 24,592, 33,937.14 and 13,414

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Solution

The fourth proportional to 24,592, 33,937.14 and 13,414 is: 18,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592 : 33,937.14 = 13,414 : x
  2. Step 2: Convert to fraction form
    24,592/33,937.14 = 13,414/x
  3. Step 3: Cross multiply
    24,592x = 33,937.14 × 13,414
  4. Step 4: Simplify right side
    24,592x = 455,232,795.96
  5. Step 5: Solve for x
    x = 455,232,795.96/24,592
  6. Step 6: Final answer
    x = 18,511.42

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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.