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Finding the Fourth Proportional to 20,744.80, 31,107.47 and 7,587.97

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Solution

The fourth proportional to 20,744.80, 31,107.47 and 7,587.97 is: 11,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.80 : 31,107.47 = 7,587.97 : x
  2. Step 2: Convert to fraction form
    20,744.80/31,107.47 = 7,587.97/x
  3. Step 3: Cross multiply
    20,744.80x = 31,107.47 × 7,587.97
  4. Step 4: Simplify right side
    20,744.80x = 236,042,433.43
  5. Step 5: Solve for x
    x = 236,042,433.43/20,744.80
  6. Step 6: Final answer
    x = 11,378.39

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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.