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Finding the Fourth Proportional to 20,658.20, 31,052.10 and 20,269.40

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Solution

The fourth proportional to 20,658.20, 31,052.10 and 20,269.40 is: 30,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.20 : 31,052.10 = 20,269.40 : x
  2. Step 2: Convert to fraction form
    20,658.20/31,052.10 = 20,269.40/x
  3. Step 3: Cross multiply
    20,658.20x = 31,052.10 × 20,269.40
  4. Step 4: Simplify right side
    20,658.20x = 629,407,435.74
  5. Step 5: Solve for x
    x = 629,407,435.74/20,658.20
  6. Step 6: Final answer
    x = 30,467.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.