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Finding the Fourth Proportional to 22,754.74, 34,127.25 and 7,163.86

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Solution

The fourth proportional to 22,754.74, 34,127.25 and 7,163.86 is: 10,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.74 : 34,127.25 = 7,163.86 : x
  2. Step 2: Convert to fraction form
    22,754.74/34,127.25 = 7,163.86/x
  3. Step 3: Cross multiply
    22,754.74x = 34,127.25 × 7,163.86
  4. Step 4: Simplify right side
    22,754.74x = 244,482,841.19
  5. Step 5: Solve for x
    x = 244,482,841.19/22,754.74
  6. Step 6: Final answer
    x = 10,744.26

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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.