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Finding the Fourth Proportional to 16,217.69, 22,379.49 and 9,143.69

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Solution

The fourth proportional to 16,217.69, 22,379.49 and 9,143.69 is: 12,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.69 : 22,379.49 = 9,143.69 : x
  2. Step 2: Convert to fraction form
    16,217.69/22,379.49 = 9,143.69/x
  3. Step 3: Cross multiply
    16,217.69x = 22,379.49 × 9,143.69
  4. Step 4: Simplify right side
    16,217.69x = 204,631,007.02
  5. Step 5: Solve for x
    x = 204,631,007.02/16,217.69
  6. Step 6: Final answer
    x = 12,617.77

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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.