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Finding the Fourth Proportional to 16,617.42, 22,932.25 and 9,906.91

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Solution

The fourth proportional to 16,617.42, 22,932.25 and 9,906.91 is: 13,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.42 : 22,932.25 = 9,906.91 : x
  2. Step 2: Convert to fraction form
    16,617.42/22,932.25 = 9,906.91/x
  3. Step 3: Cross multiply
    16,617.42x = 22,932.25 × 9,906.91
  4. Step 4: Simplify right side
    16,617.42x = 227,187,736.85
  5. Step 5: Solve for x
    x = 227,187,736.85/16,617.42
  6. Step 6: Final answer
    x = 13,671.66

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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.