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Finding the Fourth Proportional to 24,755.64, 34,163.12 and 13,578.36

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Solution

The fourth proportional to 24,755.64, 34,163.12 and 13,578.36 is: 18,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.64 : 34,163.12 = 13,578.36 : x
  2. Step 2: Convert to fraction form
    24,755.64/34,163.12 = 13,578.36/x
  3. Step 3: Cross multiply
    24,755.64x = 34,163.12 × 13,578.36
  4. Step 4: Simplify right side
    24,755.64x = 463,879,142.08
  5. Step 5: Solve for x
    x = 463,879,142.08/24,755.64
  6. Step 6: Final answer
    x = 18,738.32

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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.