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Finding the Fourth Proportional to 16,238.72, 22,408.98 and 9,165.80

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Solution

The fourth proportional to 16,238.72, 22,408.98 and 9,165.80 is: 12,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.72 : 22,408.98 = 9,165.80 : x
  2. Step 2: Convert to fraction form
    16,238.72/22,408.98 = 9,165.80/x
  3. Step 3: Cross multiply
    16,238.72x = 22,408.98 × 9,165.80
  4. Step 4: Simplify right side
    16,238.72x = 205,396,228.88
  5. Step 5: Solve for x
    x = 205,396,228.88/16,238.72
  6. Step 6: Final answer
    x = 12,648.55

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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.