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Finding the Fourth Proportional to 22,743, 34,115.72 and 7,161.84

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Solution

The fourth proportional to 22,743, 34,115.72 and 7,161.84 is: 10,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743 : 34,115.72 = 7,161.84 : x
  2. Step 2: Convert to fraction form
    22,743/34,115.72 = 7,161.84/x
  3. Step 3: Cross multiply
    22,743x = 34,115.72 × 7,161.84
  4. Step 4: Simplify right side
    22,743x = 244,331,292.32
  5. Step 5: Solve for x
    x = 244,331,292.32/22,743
  6. Step 6: Final answer
    x = 10,743.14

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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.