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Finding the Fourth Proportional to 22,809.26, 34,213.65 and 7,226.88

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Solution

The fourth proportional to 22,809.26, 34,213.65 and 7,226.88 is: 10,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.26 : 34,213.65 = 7,226.88 : x
  2. Step 2: Convert to fraction form
    22,809.26/34,213.65 = 7,226.88/x
  3. Step 3: Cross multiply
    22,809.26x = 34,213.65 × 7,226.88
  4. Step 4: Simplify right side
    22,809.26x = 247,257,942.91
  5. Step 5: Solve for x
    x = 247,257,942.91/22,809.26
  6. Step 6: Final answer
    x = 10,840.24

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