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Finding the Fourth Proportional to 13,800.22, 20,701.02 and 3,940.96

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Solution

The fourth proportional to 13,800.22, 20,701.02 and 3,940.96 is: 5,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.22 : 20,701.02 = 3,940.96 : x
  2. Step 2: Convert to fraction form
    13,800.22/20,701.02 = 3,940.96/x
  3. Step 3: Cross multiply
    13,800.22x = 20,701.02 × 3,940.96
  4. Step 4: Simplify right side
    13,800.22x = 81,581,891.78
  5. Step 5: Solve for x
    x = 81,581,891.78/13,800.22
  6. Step 6: Final answer
    x = 5,911.64

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Why These Related Problems?

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