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Finding the Fourth Proportional to 16,223.25, 22,388.08 and 9,149.66

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Solution

The fourth proportional to 16,223.25, 22,388.08 and 9,149.66 is: 12,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.25 : 22,388.08 = 9,149.66 : x
  2. Step 2: Convert to fraction form
    16,223.25/22,388.08 = 9,149.66/x
  3. Step 3: Cross multiply
    16,223.25x = 22,388.08 × 9,149.66
  4. Step 4: Simplify right side
    16,223.25x = 204,843,162.36
  5. Step 5: Solve for x
    x = 204,843,162.36/16,223.25
  6. Step 6: Final answer
    x = 12,626.52

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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.