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Finding the Fourth Proportional to 20,194.07, 30,295.89 and 6,343.07

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Solution

The fourth proportional to 20,194.07, 30,295.89 and 6,343.07 is: 9,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.07 : 30,295.89 = 6,343.07 : x
  2. Step 2: Convert to fraction form
    20,194.07/30,295.89 = 6,343.07/x
  3. Step 3: Cross multiply
    20,194.07x = 30,295.89 × 6,343.07
  4. Step 4: Simplify right side
    20,194.07x = 192,168,799.50
  5. Step 5: Solve for x
    x = 192,168,799.50/20,194.07
  6. Step 6: Final answer
    x = 9,516.10

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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.