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Finding the Fourth Proportional to 23,183.66, 31,993.02 and 13,111.76

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Solution

The fourth proportional to 23,183.66, 31,993.02 and 13,111.76 is: 18,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.66 : 31,993.02 = 13,111.76 : x
  2. Step 2: Convert to fraction form
    23,183.66/31,993.02 = 13,111.76/x
  3. Step 3: Cross multiply
    23,183.66x = 31,993.02 × 13,111.76
  4. Step 4: Simplify right side
    23,183.66x = 419,484,799.92
  5. Step 5: Solve for x
    x = 419,484,799.92/23,183.66
  6. Step 6: Final answer
    x = 18,093.99

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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.