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Finding the Fourth Proportional to 16,131.81, 22,265.45 and 8,964.19

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Solution

The fourth proportional to 16,131.81, 22,265.45 and 8,964.19 is: 12,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.81 : 22,265.45 = 8,964.19 : x
  2. Step 2: Convert to fraction form
    16,131.81/22,265.45 = 8,964.19/x
  3. Step 3: Cross multiply
    16,131.81x = 22,265.45 × 8,964.19
  4. Step 4: Simplify right side
    16,131.81x = 199,591,724.24
  5. Step 5: Solve for x
    x = 199,591,724.24/16,131.81
  6. Step 6: Final answer
    x = 12,372.56

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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.