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Finding the Fourth Proportional to 20,805.24, 31,201.32 and 6,951

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Solution

The fourth proportional to 20,805.24, 31,201.32 and 6,951 is: 10,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.24 : 31,201.32 = 6,951 : x
  2. Step 2: Convert to fraction form
    20,805.24/31,201.32 = 6,951/x
  3. Step 3: Cross multiply
    20,805.24x = 31,201.32 × 6,951
  4. Step 4: Simplify right side
    20,805.24x = 216,880,375.32
  5. Step 5: Solve for x
    x = 216,880,375.32/20,805.24
  6. Step 6: Final answer
    x = 10,424.31

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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.