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Finding the Fourth Proportional to 16,216.33, 22,379.58 and 9,143.21

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Solution

The fourth proportional to 16,216.33, 22,379.58 and 9,143.21 is: 12,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.33 : 22,379.58 = 9,143.21 : x
  2. Step 2: Convert to fraction form
    16,216.33/22,379.58 = 9,143.21/x
  3. Step 3: Cross multiply
    16,216.33x = 22,379.58 × 9,143.21
  4. Step 4: Simplify right side
    16,216.33x = 204,621,087.75
  5. Step 5: Solve for x
    x = 204,621,087.75/16,216.33
  6. Step 6: Final answer
    x = 12,618.21

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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.