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Finding the Fourth Proportional to 20,594.44, 30,893.82 and 6,744.52

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Solution

The fourth proportional to 20,594.44, 30,893.82 and 6,744.52 is: 10,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.44 : 30,893.82 = 6,744.52 : x
  2. Step 2: Convert to fraction form
    20,594.44/30,893.82 = 6,744.52/x
  3. Step 3: Cross multiply
    20,594.44x = 30,893.82 × 6,744.52
  4. Step 4: Simplify right side
    20,594.44x = 208,363,986.87
  5. Step 5: Solve for x
    x = 208,363,986.87/20,594.44
  6. Step 6: Final answer
    x = 10,117.49

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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.