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Finding the Fourth Proportional to 24,450, 33,742.70 and 13,839.68

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Solution

The fourth proportional to 24,450, 33,742.70 and 13,839.68 is: 19,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450 : 33,742.70 = 13,839.68 : x
  2. Step 2: Convert to fraction form
    24,450/33,742.70 = 13,839.68/x
  3. Step 3: Cross multiply
    24,450x = 33,742.70 × 13,839.68
  4. Step 4: Simplify right side
    24,450x = 466,987,932.42
  5. Step 5: Solve for x
    x = 466,987,932.42/24,450
  6. Step 6: Final answer
    x = 19,099.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.