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Finding the Fourth Proportional to 29,669.82, 40,942.77 and 16,238.47

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Solution

The fourth proportional to 29,669.82, 40,942.77 and 16,238.47 is: 22,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,669.82 : 40,942.77 = 16,238.47 : x
  2. Step 2: Convert to fraction form
    29,669.82/40,942.77 = 16,238.47/x
  3. Step 3: Cross multiply
    29,669.82x = 40,942.77 × 16,238.47
  4. Step 4: Simplify right side
    29,669.82x = 664,847,942.36
  5. Step 5: Solve for x
    x = 664,847,942.36/29,669.82
  6. Step 6: Final answer
    x = 22,408.22

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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.