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Finding the Fourth Proportional to 20,803.49, 31,198.76 and 6,949.25

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Solution

The fourth proportional to 20,803.49, 31,198.76 and 6,949.25 is: 10,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.49 : 31,198.76 = 6,949.25 : x
  2. Step 2: Convert to fraction form
    20,803.49/31,198.76 = 6,949.25/x
  3. Step 3: Cross multiply
    20,803.49x = 31,198.76 × 6,949.25
  4. Step 4: Simplify right side
    20,803.49x = 216,807,948.18
  5. Step 5: Solve for x
    x = 216,807,948.18/20,803.49
  6. Step 6: Final answer
    x = 10,421.71

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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.