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Finding the Fourth Proportional to 20,694.70, 31,046.87 and 5,903.82

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Solution

The fourth proportional to 20,694.70, 31,046.87 and 5,903.82 is: 8,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.70 : 31,046.87 = 5,903.82 : x
  2. Step 2: Convert to fraction form
    20,694.70/31,046.87 = 5,903.82/x
  3. Step 3: Cross multiply
    20,694.70x = 31,046.87 × 5,903.82
  4. Step 4: Simplify right side
    20,694.70x = 183,295,132.04
  5. Step 5: Solve for x
    x = 183,295,132.04/20,694.70
  6. Step 6: Final answer
    x = 8,857.11

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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.