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Finding the Fourth Proportional to 22,891.24, 34,336.22 and 7,309.80

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Solution

The fourth proportional to 22,891.24, 34,336.22 and 7,309.80 is: 10,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891.24 : 34,336.22 = 7,309.80 : x
  2. Step 2: Convert to fraction form
    22,891.24/34,336.22 = 7,309.80/x
  3. Step 3: Cross multiply
    22,891.24x = 34,336.22 × 7,309.80
  4. Step 4: Simplify right side
    22,891.24x = 250,990,900.96
  5. Step 5: Solve for x
    x = 250,990,900.96/22,891.24
  6. Step 6: Final answer
    x = 10,964.50

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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.