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Finding the Fourth Proportional to 20,480.80, 30,724.80 and 7,340.80

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Solution

The fourth proportional to 20,480.80, 30,724.80 and 7,340.80 is: 11,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.80 : 30,724.80 = 7,340.80 : x
  2. Step 2: Convert to fraction form
    20,480.80/30,724.80 = 7,340.80/x
  3. Step 3: Cross multiply
    20,480.80x = 30,724.80 × 7,340.80
  4. Step 4: Simplify right side
    20,480.80x = 225,544,611.84
  5. Step 5: Solve for x
    x = 225,544,611.84/20,480.80
  6. Step 6: Final answer
    x = 11,012.49

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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.