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Finding the Fourth Proportional to 23,181.68, 31,990.74 and 12,571.31

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Solution

The fourth proportional to 23,181.68, 31,990.74 and 12,571.31 is: 17,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.68 : 31,990.74 = 12,571.31 : x
  2. Step 2: Convert to fraction form
    23,181.68/31,990.74 = 12,571.31/x
  3. Step 3: Cross multiply
    23,181.68x = 31,990.74 × 12,571.31
  4. Step 4: Simplify right side
    23,181.68x = 402,165,589.65
  5. Step 5: Solve for x
    x = 402,165,589.65/23,181.68
  6. Step 6: Final answer
    x = 17,348.42

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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.