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Finding the Fourth Proportional to 20,593.94, 30,893.07 and 6,744.02

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Solution

The fourth proportional to 20,593.94, 30,893.07 and 6,744.02 is: 10,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.94 : 30,893.07 = 6,744.02 : x
  2. Step 2: Convert to fraction form
    20,593.94/30,893.07 = 6,744.02/x
  3. Step 3: Cross multiply
    20,593.94x = 30,893.07 × 6,744.02
  4. Step 4: Simplify right side
    20,593.94x = 208,343,481.94
  5. Step 5: Solve for x
    x = 208,343,481.94/20,593.94
  6. Step 6: Final answer
    x = 10,116.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.