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Finding the Fourth Proportional to 22,745.20, 34,069.20 and 18,857.20

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Solution

The fourth proportional to 22,745.20, 34,069.20 and 18,857.20 is: 28,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,745.20 : 34,069.20 = 18,857.20 : x
  2. Step 2: Convert to fraction form
    22,745.20/34,069.20 = 18,857.20/x
  3. Step 3: Cross multiply
    22,745.20x = 34,069.20 × 18,857.20
  4. Step 4: Simplify right side
    22,745.20x = 642,449,718.24
  5. Step 5: Solve for x
    x = 642,449,718.24/22,745.20
  6. Step 6: Final answer
    x = 28,245.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.