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Finding the Fourth Proportional to 23,183.68, 31,993.28 and 13,114.08

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Solution

The fourth proportional to 23,183.68, 31,993.28 and 13,114.08 is: 18,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.68 : 31,993.28 = 13,114.08 : x
  2. Step 2: Convert to fraction form
    23,183.68/31,993.28 = 13,114.08/x
  3. Step 3: Cross multiply
    23,183.68x = 31,993.28 × 13,114.08
  4. Step 4: Simplify right side
    23,183.68x = 419,562,433.38
  5. Step 5: Solve for x
    x = 419,562,433.38/23,183.68
  6. Step 6: Final answer
    x = 18,097.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.