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Finding the Fourth Proportional to 19,646, 29,469.81 and 5,795

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Solution

The fourth proportional to 19,646, 29,469.81 and 5,795 is: 8,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646 : 29,469.81 = 5,795 : x
  2. Step 2: Convert to fraction form
    19,646/29,469.81 = 5,795/x
  3. Step 3: Cross multiply
    19,646x = 29,469.81 × 5,795
  4. Step 4: Simplify right side
    19,646x = 170,777,548.95
  5. Step 5: Solve for x
    x = 170,777,548.95/19,646
  6. Step 6: Final answer
    x = 8,692.74

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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.