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Finding the Fourth Proportional to 20,846.52, 31,273.22 and 6,802.47

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Solution

The fourth proportional to 20,846.52, 31,273.22 and 6,802.47 is: 10,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.52 : 31,273.22 = 6,802.47 : x
  2. Step 2: Convert to fraction form
    20,846.52/31,273.22 = 6,802.47/x
  3. Step 3: Cross multiply
    20,846.52x = 31,273.22 × 6,802.47
  4. Step 4: Simplify right side
    20,846.52x = 212,735,157.86
  5. Step 5: Solve for x
    x = 212,735,157.86/20,846.52
  6. Step 6: Final answer
    x = 10,204.83

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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.