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Finding the Fourth Proportional to 20,594.25, 30,891.65 and 6,743.25

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Solution

The fourth proportional to 20,594.25, 30,891.65 and 6,743.25 is: 10,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.25 : 30,891.65 = 6,743.25 : x
  2. Step 2: Convert to fraction form
    20,594.25/30,891.65 = 6,743.25/x
  3. Step 3: Cross multiply
    20,594.25x = 30,891.65 × 6,743.25
  4. Step 4: Simplify right side
    20,594.25x = 208,310,118.86
  5. Step 5: Solve for x
    x = 208,310,118.86/20,594.25
  6. Step 6: Final answer
    x = 10,114.97

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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.