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Finding the Fourth Proportional to 20,230.80, 30,338.51 and 6,186.56

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Solution

The fourth proportional to 20,230.80, 30,338.51 and 6,186.56 is: 9,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.80 : 30,338.51 = 6,186.56 : x
  2. Step 2: Convert to fraction form
    20,230.80/30,338.51 = 6,186.56/x
  3. Step 3: Cross multiply
    20,230.80x = 30,338.51 × 6,186.56
  4. Step 4: Simplify right side
    20,230.80x = 187,690,829.80
  5. Step 5: Solve for x
    x = 187,690,829.80/20,230.80
  6. Step 6: Final answer
    x = 9,277.48

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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.