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Finding the Fourth Proportional to 16,204.62, 22,362.81 and 9,131.28

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Solution

The fourth proportional to 16,204.62, 22,362.81 and 9,131.28 is: 12,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.62 : 22,362.81 = 9,131.28 : x
  2. Step 2: Convert to fraction form
    16,204.62/22,362.81 = 9,131.28/x
  3. Step 3: Cross multiply
    16,204.62x = 22,362.81 × 9,131.28
  4. Step 4: Simplify right side
    16,204.62x = 204,201,079.70
  5. Step 5: Solve for x
    x = 204,201,079.70/16,204.62
  6. Step 6: Final answer
    x = 12,601.41

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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.