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Finding the Fourth Proportional to 24,169.39, 33,350.84 and 13,414.21

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Solution

The fourth proportional to 24,169.39, 33,350.84 and 13,414.21 is: 18,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,169.39 : 33,350.84 = 13,414.21 : x
  2. Step 2: Convert to fraction form
    24,169.39/33,350.84 = 13,414.21/x
  3. Step 3: Cross multiply
    24,169.39x = 33,350.84 × 13,414.21
  4. Step 4: Simplify right side
    24,169.39x = 447,375,071.29
  5. Step 5: Solve for x
    x = 447,375,071.29/24,169.39
  6. Step 6: Final answer
    x = 18,509.99

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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.