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Finding the Fourth Proportional to 20,502.80, 30,745.20 and 9,405.80

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Solution

The fourth proportional to 20,502.80, 30,745.20 and 9,405.80 is: 14,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.80 : 30,745.20 = 9,405.80 : x
  2. Step 2: Convert to fraction form
    20,502.80/30,745.20 = 9,405.80/x
  3. Step 3: Cross multiply
    20,502.80x = 30,745.20 × 9,405.80
  4. Step 4: Simplify right side
    20,502.80x = 289,183,202.16
  5. Step 5: Solve for x
    x = 289,183,202.16/20,502.80
  6. Step 6: Final answer
    x = 14,104.57

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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.