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Finding the Fourth Proportional to 12,205.94, 16,846.38 and 7,170.35

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Solution

The fourth proportional to 12,205.94, 16,846.38 and 7,170.35 is: 9,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.94 : 16,846.38 = 7,170.35 : x
  2. Step 2: Convert to fraction form
    12,205.94/16,846.38 = 7,170.35/x
  3. Step 3: Cross multiply
    12,205.94x = 16,846.38 × 7,170.35
  4. Step 4: Simplify right side
    12,205.94x = 120,794,356.60
  5. Step 5: Solve for x
    x = 120,794,356.60/12,205.94
  6. Step 6: Final answer
    x = 9,896.36

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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.