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Finding the Fourth Proportional to 20,491.36, 30,736.32 and 6,640

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Solution

The fourth proportional to 20,491.36, 30,736.32 and 6,640 is: 9,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.36 : 30,736.32 = 6,640 : x
  2. Step 2: Convert to fraction form
    20,491.36/30,736.32 = 6,640/x
  3. Step 3: Cross multiply
    20,491.36x = 30,736.32 × 6,640
  4. Step 4: Simplify right side
    20,491.36x = 204,089,164.80
  5. Step 5: Solve for x
    x = 204,089,164.80/20,491.36
  6. Step 6: Final answer
    x = 9,959.77

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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.