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Finding the Fourth Proportional to 23,183.40, 31,992.71 and 13,111.46

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Solution

The fourth proportional to 23,183.40, 31,992.71 and 13,111.46 is: 18,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.40 : 31,992.71 = 13,111.46 : x
  2. Step 2: Convert to fraction form
    23,183.40/31,992.71 = 13,111.46/x
  3. Step 3: Cross multiply
    23,183.40x = 31,992.71 × 13,111.46
  4. Step 4: Simplify right side
    23,183.40x = 419,471,250.22
  5. Step 5: Solve for x
    x = 419,471,250.22/23,183.40
  6. Step 6: Final answer
    x = 18,093.60

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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.