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Finding the Fourth Proportional to 15,994.32, 23,991.48 and 8,198.16

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Solution

The fourth proportional to 15,994.32, 23,991.48 and 8,198.16 is: 12,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994.32 : 23,991.48 = 8,198.16 : x
  2. Step 2: Convert to fraction form
    15,994.32/23,991.48 = 8,198.16/x
  3. Step 3: Cross multiply
    15,994.32x = 23,991.48 × 8,198.16
  4. Step 4: Simplify right side
    15,994.32x = 196,685,991.68
  5. Step 5: Solve for x
    x = 196,685,991.68/15,994.32
  6. Step 6: Final answer
    x = 12,297.24

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Similar ratio
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1.5x scale

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.