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Finding the Fourth Proportional to 24,384, 33,649.92 and 13,206

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Solution

The fourth proportional to 24,384, 33,649.92 and 13,206 is: 18,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 33,649.92 = 13,206 : x
  2. Step 2: Convert to fraction form
    24,384/33,649.92 = 13,206/x
  3. Step 3: Cross multiply
    24,384x = 33,649.92 × 13,206
  4. Step 4: Simplify right side
    24,384x = 444,380,843.52
  5. Step 5: Solve for x
    x = 444,380,843.52/24,384
  6. Step 6: Final answer
    x = 18,224.28

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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.