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Finding the Fourth Proportional to 12,616.59, 17,415.09 and 8,649.21

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Solution

The fourth proportional to 12,616.59, 17,415.09 and 8,649.21 is: 11,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.59 : 17,415.09 = 8,649.21 : x
  2. Step 2: Convert to fraction form
    12,616.59/17,415.09 = 8,649.21/x
  3. Step 3: Cross multiply
    12,616.59x = 17,415.09 × 8,649.21
  4. Step 4: Simplify right side
    12,616.59x = 150,626,770.58
  5. Step 5: Solve for x
    x = 150,626,770.58/12,616.59
  6. Step 6: Final answer
    x = 11,938.79

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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.