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Finding the Fourth Proportional to 22,682.70, 34,019.19 and 7,091.82

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Solution

The fourth proportional to 22,682.70, 34,019.19 and 7,091.82 is: 10,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.70 : 34,019.19 = 7,091.82 : x
  2. Step 2: Convert to fraction form
    22,682.70/34,019.19 = 7,091.82/x
  3. Step 3: Cross multiply
    22,682.70x = 34,019.19 × 7,091.82
  4. Step 4: Simplify right side
    22,682.70x = 241,257,972.03
  5. Step 5: Solve for x
    x = 241,257,972.03/22,682.70
  6. Step 6: Final answer
    x = 10,636.21

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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.