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Finding the Fourth Proportional to 20,200.40, 30,300.60 and 12,813.20

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Solution

The fourth proportional to 20,200.40, 30,300.60 and 12,813.20 is: 19,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.40 : 30,300.60 = 12,813.20 : x
  2. Step 2: Convert to fraction form
    20,200.40/30,300.60 = 12,813.20/x
  3. Step 3: Cross multiply
    20,200.40x = 30,300.60 × 12,813.20
  4. Step 4: Simplify right side
    20,200.40x = 388,247,647.92
  5. Step 5: Solve for x
    x = 388,247,647.92/20,200.40
  6. Step 6: Final answer
    x = 19,219.80

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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.