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Finding the Fourth Proportional to 16,109.25, 22,230.81 and 9,399.49

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Solution

The fourth proportional to 16,109.25, 22,230.81 and 9,399.49 is: 12,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.25 : 22,230.81 = 9,399.49 : x
  2. Step 2: Convert to fraction form
    16,109.25/22,230.81 = 9,399.49/x
  3. Step 3: Cross multiply
    16,109.25x = 22,230.81 × 9,399.49
  4. Step 4: Simplify right side
    16,109.25x = 208,958,229.29
  5. Step 5: Solve for x
    x = 208,958,229.29/16,109.25
  6. Step 6: Final answer
    x = 12,971.32

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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.