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Finding the Fourth Proportional to 16,121.69, 22,241.57 and 9,311.21

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Solution

The fourth proportional to 16,121.69, 22,241.57 and 9,311.21 is: 12,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.69 : 22,241.57 = 9,311.21 : x
  2. Step 2: Convert to fraction form
    16,121.69/22,241.57 = 9,311.21/x
  3. Step 3: Cross multiply
    16,121.69x = 22,241.57 × 9,311.21
  4. Step 4: Simplify right side
    16,121.69x = 207,095,794.51
  5. Step 5: Solve for x
    x = 207,095,794.51/16,121.69
  6. Step 6: Final answer
    x = 12,845.79

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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.