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Finding the Fourth Proportional to 20,896.96, 31,323.40 and 6,853.32

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Solution

The fourth proportional to 20,896.96, 31,323.40 and 6,853.32 is: 10,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.96 : 31,323.40 = 6,853.32 : x
  2. Step 2: Convert to fraction form
    20,896.96/31,323.40 = 6,853.32/x
  3. Step 3: Cross multiply
    20,896.96x = 31,323.40 × 6,853.32
  4. Step 4: Simplify right side
    20,896.96x = 214,669,283.69
  5. Step 5: Solve for x
    x = 214,669,283.69/20,896.96
  6. Step 6: Final answer
    x = 10,272.75

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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.