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Finding the Fourth Proportional to 20,270.34, 30,405.30 and 6,419.34

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Solution

The fourth proportional to 20,270.34, 30,405.30 and 6,419.34 is: 9,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.34 : 30,405.30 = 6,419.34 : x
  2. Step 2: Convert to fraction form
    20,270.34/30,405.30 = 6,419.34/x
  3. Step 3: Cross multiply
    20,270.34x = 30,405.30 × 6,419.34
  4. Step 4: Simplify right side
    20,270.34x = 195,181,958.50
  5. Step 5: Solve for x
    x = 195,181,958.50/20,270.34
  6. Step 6: Final answer
    x = 9,628.94

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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.