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Finding the Fourth Proportional to 20,185.46, 30,278.38 and 7,037.82

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Solution

The fourth proportional to 20,185.46, 30,278.38 and 7,037.82 is: 10,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.46 : 30,278.38 = 7,037.82 : x
  2. Step 2: Convert to fraction form
    20,185.46/30,278.38 = 7,037.82/x
  3. Step 3: Cross multiply
    20,185.46x = 30,278.38 × 7,037.82
  4. Step 4: Simplify right side
    20,185.46x = 213,093,788.33
  5. Step 5: Solve for x
    x = 213,093,788.33/20,185.46
  6. Step 6: Final answer
    x = 10,556.80

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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.