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Finding the Fourth Proportional to 20,216.94, 30,324.37 and 7,736

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Solution

The fourth proportional to 20,216.94, 30,324.37 and 7,736 is: 11,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.94 : 30,324.37 = 7,736 : x
  2. Step 2: Convert to fraction form
    20,216.94/30,324.37 = 7,736/x
  3. Step 3: Cross multiply
    20,216.94x = 30,324.37 × 7,736
  4. Step 4: Simplify right side
    20,216.94x = 234,589,287.64
  5. Step 5: Solve for x
    x = 234,589,287.64/20,216.94
  6. Step 6: Final answer
    x = 11,603.60

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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.