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Finding the Fourth Proportional to 24,419, 33,698.22 and 13,241

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Solution

The fourth proportional to 24,419, 33,698.22 and 13,241 is: 18,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419 : 33,698.22 = 13,241 : x
  2. Step 2: Convert to fraction form
    24,419/33,698.22 = 13,241/x
  3. Step 3: Cross multiply
    24,419x = 33,698.22 × 13,241
  4. Step 4: Simplify right side
    24,419x = 446,198,131.02
  5. Step 5: Solve for x
    x = 446,198,131.02/24,419
  6. Step 6: Final answer
    x = 18,272.58

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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.