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Finding the Fourth Proportional to 22,686, 34,035.90 and 11,600.47

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Solution

The fourth proportional to 22,686, 34,035.90 and 11,600.47 is: 17,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686 : 34,035.90 = 11,600.47 : x
  2. Step 2: Convert to fraction form
    22,686/34,035.90 = 11,600.47/x
  3. Step 3: Cross multiply
    22,686x = 34,035.90 × 11,600.47
  4. Step 4: Simplify right side
    22,686x = 394,832,436.87
  5. Step 5: Solve for x
    x = 394,832,436.87/22,686
  6. Step 6: Final answer
    x = 17,404.23

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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.