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Finding the Fourth Proportional to 16,317.50, 22,517.07 and 9,601.82

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Solution

The fourth proportional to 16,317.50, 22,517.07 and 9,601.82 is: 13,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,317.50 : 22,517.07 = 9,601.82 : x
  2. Step 2: Convert to fraction form
    16,317.50/22,517.07 = 9,601.82/x
  3. Step 3: Cross multiply
    16,317.50x = 22,517.07 × 9,601.82
  4. Step 4: Simplify right side
    16,317.50x = 216,204,853.07
  5. Step 5: Solve for x
    x = 216,204,853.07/16,317.50
  6. Step 6: Final answer
    x = 13,249.88

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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.