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Finding the Fourth Proportional to 24,381, 33,645.78 and 13,203

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Solution

The fourth proportional to 24,381, 33,645.78 and 13,203 is: 18,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381 : 33,645.78 = 13,203 : x
  2. Step 2: Convert to fraction form
    24,381/33,645.78 = 13,203/x
  3. Step 3: Cross multiply
    24,381x = 33,645.78 × 13,203
  4. Step 4: Simplify right side
    24,381x = 444,225,233.34
  5. Step 5: Solve for x
    x = 444,225,233.34/24,381
  6. Step 6: Final answer
    x = 18,220.14

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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.