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Finding the Fourth Proportional to 20,476.14, 30,694.75 and 8,004.16

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Solution

The fourth proportional to 20,476.14, 30,694.75 and 8,004.16 is: 11,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.14 : 30,694.75 = 8,004.16 : x
  2. Step 2: Convert to fraction form
    20,476.14/30,694.75 = 8,004.16/x
  3. Step 3: Cross multiply
    20,476.14x = 30,694.75 × 8,004.16
  4. Step 4: Simplify right side
    20,476.14x = 245,685,690.16
  5. Step 5: Solve for x
    x = 245,685,690.16/20,476.14
  6. Step 6: Final answer
    x = 11,998.63

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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.