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Finding the Fourth Proportional to 16,238.93, 22,408.67 and 9,164.39

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Solution

The fourth proportional to 16,238.93, 22,408.67 and 9,164.39 is: 12,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.93 : 22,408.67 = 9,164.39 : x
  2. Step 2: Convert to fraction form
    16,238.93/22,408.67 = 9,164.39/x
  3. Step 3: Cross multiply
    16,238.93x = 22,408.67 × 9,164.39
  4. Step 4: Simplify right side
    16,238.93x = 205,361,745.44
  5. Step 5: Solve for x
    x = 205,361,745.44/16,238.93
  6. Step 6: Final answer
    x = 12,646.26

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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.