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Finding the Fourth Proportional to 20,126.13, 30,194.54 and 6,978.48

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Solution

The fourth proportional to 20,126.13, 30,194.54 and 6,978.48 is: 10,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126.13 : 30,194.54 = 6,978.48 : x
  2. Step 2: Convert to fraction form
    20,126.13/30,194.54 = 6,978.48/x
  3. Step 3: Cross multiply
    20,126.13x = 30,194.54 × 6,978.48
  4. Step 4: Simplify right side
    20,126.13x = 210,711,993.50
  5. Step 5: Solve for x
    x = 210,711,993.50/20,126.13
  6. Step 6: Final answer
    x = 10,469.57

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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.