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Finding the Fourth Proportional to 17,935, 26,906.82 and 5,623

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Solution

The fourth proportional to 17,935, 26,906.82 and 5,623 is: 8,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935 : 26,906.82 = 5,623 : x
  2. Step 2: Convert to fraction form
    17,935/26,906.82 = 5,623/x
  3. Step 3: Cross multiply
    17,935x = 26,906.82 × 5,623
  4. Step 4: Simplify right side
    17,935x = 151,297,048.86
  5. Step 5: Solve for x
    x = 151,297,048.86/17,935
  6. Step 6: Final answer
    x = 8,435.85

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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.