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Finding the Fourth Proportional to 18,230.31, 27,345.47 and 10,433.66

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Solution

The fourth proportional to 18,230.31, 27,345.47 and 10,433.66 is: 15,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230.31 : 27,345.47 = 10,433.66 : x
  2. Step 2: Convert to fraction form
    18,230.31/27,345.47 = 10,433.66/x
  3. Step 3: Cross multiply
    18,230.31x = 27,345.47 × 10,433.66
  4. Step 4: Simplify right side
    18,230.31x = 285,313,147.62
  5. Step 5: Solve for x
    x = 285,313,147.62/18,230.31
  6. Step 6: Final answer
    x = 15,650.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.