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Finding the Fourth Proportional to 12,157.47, 16,772.97 and 6,850.95

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Solution

The fourth proportional to 12,157.47, 16,772.97 and 6,850.95 is: 9,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.47 : 16,772.97 = 6,850.95 : x
  2. Step 2: Convert to fraction form
    12,157.47/16,772.97 = 6,850.95/x
  3. Step 3: Cross multiply
    12,157.47x = 16,772.97 × 6,850.95
  4. Step 4: Simplify right side
    12,157.47x = 114,910,778.82
  5. Step 5: Solve for x
    x = 114,910,778.82/12,157.47
  6. Step 6: Final answer
    x = 9,451.87

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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.