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Finding the Fourth Proportional to 14,183.22, 21,274.82 and 6,382.92

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Solution

The fourth proportional to 14,183.22, 21,274.82 and 6,382.92 is: 9,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.22 : 21,274.82 = 6,382.92 : x
  2. Step 2: Convert to fraction form
    14,183.22/21,274.82 = 6,382.92/x
  3. Step 3: Cross multiply
    14,183.22x = 21,274.82 × 6,382.92
  4. Step 4: Simplify right side
    14,183.22x = 135,795,474.07
  5. Step 5: Solve for x
    x = 135,795,474.07/14,183.22
  6. Step 6: Final answer
    x = 9,574.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.