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Finding the Fourth Proportional to 16,217.05, 22,379.22 and 9,143.48

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Solution

The fourth proportional to 16,217.05, 22,379.22 and 9,143.48 is: 12,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.05 : 22,379.22 = 9,143.48 : x
  2. Step 2: Convert to fraction form
    16,217.05/22,379.22 = 9,143.48/x
  3. Step 3: Cross multiply
    16,217.05x = 22,379.22 × 9,143.48
  4. Step 4: Simplify right side
    16,217.05x = 204,623,950.49
  5. Step 5: Solve for x
    x = 204,623,950.49/16,217.05
  6. Step 6: Final answer
    x = 12,617.83

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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.