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Finding the Fourth Proportional to 16,238.48, 22,408.64 and 9,165.56

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Solution

The fourth proportional to 16,238.48, 22,408.64 and 9,165.56 is: 12,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.48 : 22,408.64 = 9,165.56 : x
  2. Step 2: Convert to fraction form
    16,238.48/22,408.64 = 9,165.56/x
  3. Step 3: Cross multiply
    16,238.48x = 22,408.64 × 9,165.56
  4. Step 4: Simplify right side
    16,238.48x = 205,387,734.44
  5. Step 5: Solve for x
    x = 205,387,734.44/16,238.48
  6. Step 6: Final answer
    x = 12,648.21

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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.