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Finding the Fourth Proportional to 20,023.40, 27,998.20 and 20,023.40

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Solution

The fourth proportional to 20,023.40, 27,998.20 and 20,023.40 is: 27,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.40 : 27,998.20 = 20,023.40 : x
  2. Step 2: Convert to fraction form
    20,023.40/27,998.20 = 20,023.40/x
  3. Step 3: Cross multiply
    20,023.40x = 27,998.20 × 20,023.40
  4. Step 4: Simplify right side
    20,023.40x = 560,619,157.88
  5. Step 5: Solve for x
    x = 560,619,157.88/20,023.40
  6. Step 6: Final answer
    x = 27,998.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.