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Finding the Fourth Proportional to 14,651.14, 20,222.19 and 8,367.16

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Solution

The fourth proportional to 14,651.14, 20,222.19 and 8,367.16 is: 11,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.14 : 20,222.19 = 8,367.16 : x
  2. Step 2: Convert to fraction form
    14,651.14/20,222.19 = 8,367.16/x
  3. Step 3: Cross multiply
    14,651.14x = 20,222.19 × 8,367.16
  4. Step 4: Simplify right side
    14,651.14x = 169,202,299.28
  5. Step 5: Solve for x
    x = 169,202,299.28/14,651.14
  6. Step 6: Final answer
    x = 11,548.75

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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.