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Finding the Fourth Proportional to 16,540.62, 22,826.46 and 9,469.32

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Solution

The fourth proportional to 16,540.62, 22,826.46 and 9,469.32 is: 13,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.62 : 22,826.46 = 9,469.32 : x
  2. Step 2: Convert to fraction form
    16,540.62/22,826.46 = 9,469.32/x
  3. Step 3: Cross multiply
    16,540.62x = 22,826.46 × 9,469.32
  4. Step 4: Simplify right side
    16,540.62x = 216,151,054.21
  5. Step 5: Solve for x
    x = 216,151,054.21/16,540.62
  6. Step 6: Final answer
    x = 13,067.89

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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.