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Finding the Fourth Proportional to 20,893.37, 31,339.89 and 6,863.13

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Solution

The fourth proportional to 20,893.37, 31,339.89 and 6,863.13 is: 10,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.37 : 31,339.89 = 6,863.13 : x
  2. Step 2: Convert to fraction form
    20,893.37/31,339.89 = 6,863.13/x
  3. Step 3: Cross multiply
    20,893.37x = 31,339.89 × 6,863.13
  4. Step 4: Simplify right side
    20,893.37x = 215,089,739.26
  5. Step 5: Solve for x
    x = 215,089,739.26/20,893.37
  6. Step 6: Final answer
    x = 10,294.64

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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.