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Finding the Fourth Proportional to 23,183.82, 31,993.68 and 12,573.47

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Solution

The fourth proportional to 23,183.82, 31,993.68 and 12,573.47 is: 17,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.82 : 31,993.68 = 12,573.47 : x
  2. Step 2: Convert to fraction form
    23,183.82/31,993.68 = 12,573.47/x
  3. Step 3: Cross multiply
    23,183.82x = 31,993.68 × 12,573.47
  4. Step 4: Simplify right side
    23,183.82x = 402,271,415.70
  5. Step 5: Solve for x
    x = 402,271,415.70/23,183.82
  6. Step 6: Final answer
    x = 17,351.39

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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.