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Finding the Fourth Proportional to 24,078.52, 33,224.04 and 13,468.24

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Solution

The fourth proportional to 24,078.52, 33,224.04 and 13,468.24 is: 18,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.52 : 33,224.04 = 13,468.24 : x
  2. Step 2: Convert to fraction form
    24,078.52/33,224.04 = 13,468.24/x
  3. Step 3: Cross multiply
    24,078.52x = 33,224.04 × 13,468.24
  4. Step 4: Simplify right side
    24,078.52x = 447,469,344.49
  5. Step 5: Solve for x
    x = 447,469,344.49/24,078.52
  6. Step 6: Final answer
    x = 18,583.76

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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.