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Finding the Fourth Proportional to 20,165.83, 30,243.27 and 8,476.31

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Solution

The fourth proportional to 20,165.83, 30,243.27 and 8,476.31 is: 12,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.83 : 30,243.27 = 8,476.31 : x
  2. Step 2: Convert to fraction form
    20,165.83/30,243.27 = 8,476.31/x
  3. Step 3: Cross multiply
    20,165.83x = 30,243.27 × 8,476.31
  4. Step 4: Simplify right side
    20,165.83x = 256,351,439.33
  5. Step 5: Solve for x
    x = 256,351,439.33/20,165.83
  6. Step 6: Final answer
    x = 12,712.17

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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.