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Finding the Fourth Proportional to 20,707.80, 31,025.10 and 20,022.60

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Solution

The fourth proportional to 20,707.80, 31,025.10 and 20,022.60 is: 29,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,707.80 : 31,025.10 = 20,022.60 : x
  2. Step 2: Convert to fraction form
    20,707.80/31,025.10 = 20,022.60/x
  3. Step 3: Cross multiply
    20,707.80x = 31,025.10 × 20,022.60
  4. Step 4: Simplify right side
    20,707.80x = 621,203,167.26
  5. Step 5: Solve for x
    x = 621,203,167.26/20,707.80
  6. Step 6: Final answer
    x = 29,998.51

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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.