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Finding the Fourth Proportional to 20,716.20, 31,074.30 and 19,744.20

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Solution

The fourth proportional to 20,716.20, 31,074.30 and 19,744.20 is: 29,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.20 : 31,074.30 = 19,744.20 : x
  2. Step 2: Convert to fraction form
    20,716.20/31,074.30 = 19,744.20/x
  3. Step 3: Cross multiply
    20,716.20x = 31,074.30 × 19,744.20
  4. Step 4: Simplify right side
    20,716.20x = 613,537,194.06
  5. Step 5: Solve for x
    x = 613,537,194.06/20,716.20
  6. Step 6: Final answer
    x = 29,616.30

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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.