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Finding the Fourth Proportional to 12,692.69, 17,513.48 and 8,215.82

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Solution

The fourth proportional to 12,692.69, 17,513.48 and 8,215.82 is: 11,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.69 : 17,513.48 = 8,215.82 : x
  2. Step 2: Convert to fraction form
    12,692.69/17,513.48 = 8,215.82/x
  3. Step 3: Cross multiply
    12,692.69x = 17,513.48 × 8,215.82
  4. Step 4: Simplify right side
    12,692.69x = 143,887,599.25
  5. Step 5: Solve for x
    x = 143,887,599.25/12,692.69
  6. Step 6: Final answer
    x = 11,336.26

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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.