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Finding the Fourth Proportional to 20,000.20, 30,000.30 and 8,321.80

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Solution

The fourth proportional to 20,000.20, 30,000.30 and 8,321.80 is: 12,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.20 : 30,000.30 = 8,321.80 : x
  2. Step 2: Convert to fraction form
    20,000.20/30,000.30 = 8,321.80/x
  3. Step 3: Cross multiply
    20,000.20x = 30,000.30 × 8,321.80
  4. Step 4: Simplify right side
    20,000.20x = 249,656,496.54
  5. Step 5: Solve for x
    x = 249,656,496.54/20,000.20
  6. Step 6: Final answer
    x = 12,482.70

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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.