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Finding the Fourth Proportional to 20,698.70, 30,998.46 and 11,324.66

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Solution

The fourth proportional to 20,698.70, 30,998.46 and 11,324.66 is: 16,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.70 : 30,998.46 = 11,324.66 : x
  2. Step 2: Convert to fraction form
    20,698.70/30,998.46 = 11,324.66/x
  3. Step 3: Cross multiply
    20,698.70x = 30,998.46 × 11,324.66
  4. Step 4: Simplify right side
    20,698.70x = 351,047,020.02
  5. Step 5: Solve for x
    x = 351,047,020.02/20,698.70
  6. Step 6: Final answer
    x = 16,959.86

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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.