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Finding the Fourth Proportional to 20,220.70, 30,298.65 and 12,811.90

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Solution

The fourth proportional to 20,220.70, 30,298.65 and 12,811.90 is: 19,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220.70 : 30,298.65 = 12,811.90 : x
  2. Step 2: Convert to fraction form
    20,220.70/30,298.65 = 12,811.90/x
  3. Step 3: Cross multiply
    20,220.70x = 30,298.65 × 12,811.90
  4. Step 4: Simplify right side
    20,220.70x = 388,183,273.94
  5. Step 5: Solve for x
    x = 388,183,273.94/20,220.70
  6. Step 6: Final answer
    x = 19,197.32

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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.