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Finding the Fourth Proportional to 12,692.63, 17,515.38 and 7,027.62

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Solution

The fourth proportional to 12,692.63, 17,515.38 and 7,027.62 is: 9,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.63 : 17,515.38 = 7,027.62 : x
  2. Step 2: Convert to fraction form
    12,692.63/17,515.38 = 7,027.62/x
  3. Step 3: Cross multiply
    12,692.63x = 17,515.38 × 7,027.62
  4. Step 4: Simplify right side
    12,692.63x = 123,091,434.80
  5. Step 5: Solve for x
    x = 123,091,434.80/12,692.63
  6. Step 6: Final answer
    x = 9,697.87

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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.