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Finding the Fourth Proportional to 24,449.78, 33,741.50 and 13,839.19

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Solution

The fourth proportional to 24,449.78, 33,741.50 and 13,839.19 is: 19,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.78 : 33,741.50 = 13,839.19 : x
  2. Step 2: Convert to fraction form
    24,449.78/33,741.50 = 13,839.19/x
  3. Step 3: Cross multiply
    24,449.78x = 33,741.50 × 13,839.19
  4. Step 4: Simplify right side
    24,449.78x = 466,954,843.38
  5. Step 5: Solve for x
    x = 466,954,843.38/24,449.78
  6. Step 6: Final answer
    x = 19,098.53

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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.