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Finding the Fourth Proportional to 20,244.40, 30,370.96 and 6,205.40

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Solution

The fourth proportional to 20,244.40, 30,370.96 and 6,205.40 is: 9,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,244.40 : 30,370.96 = 6,205.40 : x
  2. Step 2: Convert to fraction form
    20,244.40/30,370.96 = 6,205.40/x
  3. Step 3: Cross multiply
    20,244.40x = 30,370.96 × 6,205.40
  4. Step 4: Simplify right side
    20,244.40x = 188,463,914.50
  5. Step 5: Solve for x
    x = 188,463,914.50/20,244.40
  6. Step 6: Final answer
    x = 9,309.43

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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.