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Finding the Fourth Proportional to 20,893.68, 31,339.44 and 5,311.44

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Solution

The fourth proportional to 20,893.68, 31,339.44 and 5,311.44 is: 7,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.68 : 31,339.44 = 5,311.44 : x
  2. Step 2: Convert to fraction form
    20,893.68/31,339.44 = 5,311.44/x
  3. Step 3: Cross multiply
    20,893.68x = 31,339.44 × 5,311.44
  4. Step 4: Simplify right side
    20,893.68x = 166,457,555.19
  5. Step 5: Solve for x
    x = 166,457,555.19/20,893.68
  6. Step 6: Final answer
    x = 7,966.89

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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.