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Finding the Fourth Proportional to 20,843.69, 31,268.80 and 6,800.47

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Solution

The fourth proportional to 20,843.69, 31,268.80 and 6,800.47 is: 10,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.69 : 31,268.80 = 6,800.47 : x
  2. Step 2: Convert to fraction form
    20,843.69/31,268.80 = 6,800.47/x
  3. Step 3: Cross multiply
    20,843.69x = 31,268.80 × 6,800.47
  4. Step 4: Simplify right side
    20,843.69x = 212,642,558.42
  5. Step 5: Solve for x
    x = 212,642,558.42/20,843.69
  6. Step 6: Final answer
    x = 10,201.77

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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.