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Finding the Fourth Proportional to 20,998.80, 31,465.80 and 18,212.40

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Solution

The fourth proportional to 20,998.80, 31,465.80 and 18,212.40 is: 27,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.80 : 31,465.80 = 18,212.40 : x
  2. Step 2: Convert to fraction form
    20,998.80/31,465.80 = 18,212.40/x
  3. Step 3: Cross multiply
    20,998.80x = 31,465.80 × 18,212.40
  4. Step 4: Simplify right side
    20,998.80x = 573,067,735.92
  5. Step 5: Solve for x
    x = 573,067,735.92/20,998.80
  6. Step 6: Final answer
    x = 27,290.50

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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.