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Finding the Fourth Proportional to 17,134.24, 25,692.08 and 7,892

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Solution

The fourth proportional to 17,134.24, 25,692.08 and 7,892 is: 11,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.24 : 25,692.08 = 7,892 : x
  2. Step 2: Convert to fraction form
    17,134.24/25,692.08 = 7,892/x
  3. Step 3: Cross multiply
    17,134.24x = 25,692.08 × 7,892
  4. Step 4: Simplify right side
    17,134.24x = 202,761,895.36
  5. Step 5: Solve for x
    x = 202,761,895.36/17,134.24
  6. Step 6: Final answer
    x = 11,833.73

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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.