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Finding the Fourth Proportional to 18,322, 27,481.62 and 5,841.52

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Solution

The fourth proportional to 18,322, 27,481.62 and 5,841.52 is: 8,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322 : 27,481.62 = 5,841.52 : x
  2. Step 2: Convert to fraction form
    18,322/27,481.62 = 5,841.52/x
  3. Step 3: Cross multiply
    18,322x = 27,481.62 × 5,841.52
  4. Step 4: Simplify right side
    18,322x = 160,534,432.86
  5. Step 5: Solve for x
    x = 160,534,432.86/18,322
  6. Step 6: Final answer
    x = 8,761.84

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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.