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Finding the Fourth Proportional to 12,170.42, 18,251.91 and 6,323.84

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Solution

The fourth proportional to 12,170.42, 18,251.91 and 6,323.84 is: 9,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.42 : 18,251.91 = 6,323.84 : x
  2. Step 2: Convert to fraction form
    12,170.42/18,251.91 = 6,323.84/x
  3. Step 3: Cross multiply
    12,170.42x = 18,251.91 × 6,323.84
  4. Step 4: Simplify right side
    12,170.42x = 115,422,067.27
  5. Step 5: Solve for x
    x = 115,422,067.27/12,170.42
  6. Step 6: Final answer
    x = 9,483.82

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