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Finding the Fourth Proportional to 23,183.65, 31,993.06 and 13,111.71

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Solution

The fourth proportional to 23,183.65, 31,993.06 and 13,111.71 is: 18,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.65 : 31,993.06 = 13,111.71 : x
  2. Step 2: Convert to fraction form
    23,183.65/31,993.06 = 13,111.71/x
  3. Step 3: Cross multiply
    23,183.65x = 31,993.06 × 13,111.71
  4. Step 4: Simplify right side
    23,183.65x = 419,483,724.73
  5. Step 5: Solve for x
    x = 419,483,724.73/23,183.65
  6. Step 6: Final answer
    x = 18,093.95

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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.