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Finding the Fourth Proportional to 15,998.70, 23,998.05 and 8,202.54

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Solution

The fourth proportional to 15,998.70, 23,998.05 and 8,202.54 is: 12,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.70 : 23,998.05 = 8,202.54 : x
  2. Step 2: Convert to fraction form
    15,998.70/23,998.05 = 8,202.54/x
  3. Step 3: Cross multiply
    15,998.70x = 23,998.05 × 8,202.54
  4. Step 4: Simplify right side
    15,998.70x = 196,844,965.05
  5. Step 5: Solve for x
    x = 196,844,965.05/15,998.70
  6. Step 6: Final answer
    x = 12,303.81

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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.