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Finding the Fourth Proportional to 24,416, 33,694.08 and 13,238

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Solution

The fourth proportional to 24,416, 33,694.08 and 13,238 is: 18,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416 : 33,694.08 = 13,238 : x
  2. Step 2: Convert to fraction form
    24,416/33,694.08 = 13,238/x
  3. Step 3: Cross multiply
    24,416x = 33,694.08 × 13,238
  4. Step 4: Simplify right side
    24,416x = 446,042,231.04
  5. Step 5: Solve for x
    x = 446,042,231.04/24,416
  6. Step 6: Final answer
    x = 18,268.44

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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.