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Finding the Fourth Proportional to 20,900.97, 31,329.40 and 6,857.33

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Solution

The fourth proportional to 20,900.97, 31,329.40 and 6,857.33 is: 10,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.97 : 31,329.40 = 6,857.33 : x
  2. Step 2: Convert to fraction form
    20,900.97/31,329.40 = 6,857.33/x
  3. Step 3: Cross multiply
    20,900.97x = 31,329.40 × 6,857.33
  4. Step 4: Simplify right side
    20,900.97x = 214,836,034.50
  5. Step 5: Solve for x
    x = 214,836,034.50/20,900.97
  6. Step 6: Final answer
    x = 10,278.76

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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.