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Finding the Fourth Proportional to 17,806, 24,571.32 and 9,847.76

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Solution

The fourth proportional to 17,806, 24,571.32 and 9,847.76 is: 13,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806 : 24,571.32 = 9,847.76 : x
  2. Step 2: Convert to fraction form
    17,806/24,571.32 = 9,847.76/x
  3. Step 3: Cross multiply
    17,806x = 24,571.32 × 9,847.76
  4. Step 4: Simplify right side
    17,806x = 241,972,462.24
  5. Step 5: Solve for x
    x = 241,972,462.24/17,806
  6. Step 6: Final answer
    x = 13,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.