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Finding the Fourth Proportional to 18,168, 27,262.74 and 9,847.82

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Solution

The fourth proportional to 18,168, 27,262.74 and 9,847.82 is: 14,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,168 : 27,262.74 = 9,847.82 : x
  2. Step 2: Convert to fraction form
    18,168/27,262.74 = 9,847.82/x
  3. Step 3: Cross multiply
    18,168x = 27,262.74 × 9,847.82
  4. Step 4: Simplify right side
    18,168x = 268,478,556.23
  5. Step 5: Solve for x
    x = 268,478,556.23/18,168
  6. Step 6: Final answer
    x = 14,777.55

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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.