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Finding the Fourth Proportional to 20,496.70, 30,733.44 and 8,002.45

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Solution

The fourth proportional to 20,496.70, 30,733.44 and 8,002.45 is: 11,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.70 : 30,733.44 = 8,002.45 : x
  2. Step 2: Convert to fraction form
    20,496.70/30,733.44 = 8,002.45/x
  3. Step 3: Cross multiply
    20,496.70x = 30,733.44 × 8,002.45
  4. Step 4: Simplify right side
    20,496.70x = 245,942,816.93
  5. Step 5: Solve for x
    x = 245,942,816.93/20,496.70
  6. Step 6: Final answer
    x = 11,999.14

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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.