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Finding the Fourth Proportional to 12,692.14, 17,514.59 and 7,026.49

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Solution

The fourth proportional to 12,692.14, 17,514.59 and 7,026.49 is: 9,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.14 : 17,514.59 = 7,026.49 : x
  2. Step 2: Convert to fraction form
    12,692.14/17,514.59 = 7,026.49/x
  3. Step 3: Cross multiply
    12,692.14x = 17,514.59 × 7,026.49
  4. Step 4: Simplify right side
    12,692.14x = 123,066,078.25
  5. Step 5: Solve for x
    x = 123,066,078.25/12,692.14
  6. Step 6: Final answer
    x = 9,696.24

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