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Finding the Fourth Proportional to 24,519, 33,836.76 and 13,341

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Solution

The fourth proportional to 24,519, 33,836.76 and 13,341 is: 18,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519 : 33,836.76 = 13,341 : x
  2. Step 2: Convert to fraction form
    24,519/33,836.76 = 13,341/x
  3. Step 3: Cross multiply
    24,519x = 33,836.76 × 13,341
  4. Step 4: Simplify right side
    24,519x = 451,416,215.16
  5. Step 5: Solve for x
    x = 451,416,215.16/24,519
  6. Step 6: Final answer
    x = 18,410.87

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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.