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Finding the Fourth Proportional to 12,692.47, 17,517.69 and 8,710.31

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Solution

The fourth proportional to 12,692.47, 17,517.69 and 8,710.31 is: 12,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.47 : 17,517.69 = 8,710.31 : x
  2. Step 2: Convert to fraction form
    12,692.47/17,517.69 = 8,710.31/x
  3. Step 3: Cross multiply
    12,692.47x = 17,517.69 × 8,710.31
  4. Step 4: Simplify right side
    12,692.47x = 152,584,510.38
  5. Step 5: Solve for x
    x = 152,584,510.38/12,692.47
  6. Step 6: Final answer
    x = 12,021.66

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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.