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Finding the Fourth Proportional to 23,183.63, 31,995 and 13,112.08

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Solution

The fourth proportional to 23,183.63, 31,995 and 13,112.08 is: 18,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.63 : 31,995 = 13,112.08 : x
  2. Step 2: Convert to fraction form
    23,183.63/31,995 = 13,112.08/x
  3. Step 3: Cross multiply
    23,183.63x = 31,995 × 13,112.08
  4. Step 4: Simplify right side
    23,183.63x = 419,520,839.63
  5. Step 5: Solve for x
    x = 419,520,839.63/23,183.63
  6. Step 6: Final answer
    x = 18,095.56

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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.