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Finding the Fourth Proportional to 16,691.91, 23,033.27 and 9,976.20

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Solution

The fourth proportional to 16,691.91, 23,033.27 and 9,976.20 is: 13,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.91 : 23,033.27 = 9,976.20 : x
  2. Step 2: Convert to fraction form
    16,691.91/23,033.27 = 9,976.20/x
  3. Step 3: Cross multiply
    16,691.91x = 23,033.27 × 9,976.20
  4. Step 4: Simplify right side
    16,691.91x = 229,784,458.29
  5. Step 5: Solve for x
    x = 229,784,458.29/16,691.91
  6. Step 6: Final answer
    x = 13,766.22

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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.