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Finding the Fourth Proportional to 17,136, 25,692.29 and 9,131.97

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Solution

The fourth proportional to 17,136, 25,692.29 and 9,131.97 is: 13,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136 : 25,692.29 = 9,131.97 : x
  2. Step 2: Convert to fraction form
    17,136/25,692.29 = 9,131.97/x
  3. Step 3: Cross multiply
    17,136x = 25,692.29 × 9,131.97
  4. Step 4: Simplify right side
    17,136x = 234,621,306.44
  5. Step 5: Solve for x
    x = 234,621,306.44/17,136
  6. Step 6: Final answer
    x = 13,691.72

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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.