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Finding the Fourth Proportional to 20,216.44, 30,323.62 and 7,735.50

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Solution

The fourth proportional to 20,216.44, 30,323.62 and 7,735.50 is: 11,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.44 : 30,323.62 = 7,735.50 : x
  2. Step 2: Convert to fraction form
    20,216.44/30,323.62 = 7,735.50/x
  3. Step 3: Cross multiply
    20,216.44x = 30,323.62 × 7,735.50
  4. Step 4: Simplify right side
    20,216.44x = 234,568,328.67
  5. Step 5: Solve for x
    x = 234,568,328.67/20,216.44
  6. Step 6: Final answer
    x = 11,602.85

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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.