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Finding the Fourth Proportional to 20,556.68, 30,843.82 and 6,517.86

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Solution

The fourth proportional to 20,556.68, 30,843.82 and 6,517.86 is: 9,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,556.68 : 30,843.82 = 6,517.86 : x
  2. Step 2: Convert to fraction form
    20,556.68/30,843.82 = 6,517.86/x
  3. Step 3: Cross multiply
    20,556.68x = 30,843.82 × 6,517.86
  4. Step 4: Simplify right side
    20,556.68x = 201,035,700.63
  5. Step 5: Solve for x
    x = 201,035,700.63/20,556.68
  6. Step 6: Final answer
    x = 9,779.58

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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.