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Finding the Fourth Proportional to 24,395, 33,665.10 and 13,217

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Solution

The fourth proportional to 24,395, 33,665.10 and 13,217 is: 18,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395 : 33,665.10 = 13,217 : x
  2. Step 2: Convert to fraction form
    24,395/33,665.10 = 13,217/x
  3. Step 3: Cross multiply
    24,395x = 33,665.10 × 13,217
  4. Step 4: Simplify right side
    24,395x = 444,951,626.70
  5. Step 5: Solve for x
    x = 444,951,626.70/24,395
  6. Step 6: Final answer
    x = 18,239.46

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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.