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Finding the Fourth Proportional to 12,205.17, 16,838.37 and 7,961.22

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Solution

The fourth proportional to 12,205.17, 16,838.37 and 7,961.22 is: 10,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.17 : 16,838.37 = 7,961.22 : x
  2. Step 2: Convert to fraction form
    12,205.17/16,838.37 = 7,961.22/x
  3. Step 3: Cross multiply
    12,205.17x = 16,838.37 × 7,961.22
  4. Step 4: Simplify right side
    12,205.17x = 134,053,968.01
  5. Step 5: Solve for x
    x = 134,053,968.01/12,205.17
  6. Step 6: Final answer
    x = 10,983.38

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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.