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Finding the Fourth Proportional to 16,399.53, 22,633.43 and 9,229.82

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Solution

The fourth proportional to 16,399.53, 22,633.43 and 9,229.82 is: 12,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.53 : 22,633.43 = 9,229.82 : x
  2. Step 2: Convert to fraction form
    16,399.53/22,633.43 = 9,229.82/x
  3. Step 3: Cross multiply
    16,399.53x = 22,633.43 × 9,229.82
  4. Step 4: Simplify right side
    16,399.53x = 208,902,325.57
  5. Step 5: Solve for x
    x = 208,902,325.57/16,399.53
  6. Step 6: Final answer
    x = 12,738.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.