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Finding the Fourth Proportional to 20,317.50, 30,481.20 and 6,466.50

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Solution

The fourth proportional to 20,317.50, 30,481.20 and 6,466.50 is: 9,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,317.50 : 30,481.20 = 6,466.50 : x
  2. Step 2: Convert to fraction form
    20,317.50/30,481.20 = 6,466.50/x
  3. Step 3: Cross multiply
    20,317.50x = 30,481.20 × 6,466.50
  4. Step 4: Simplify right side
    20,317.50x = 197,106,679.80
  5. Step 5: Solve for x
    x = 197,106,679.80/20,317.50
  6. Step 6: Final answer
    x = 9,701.33

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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.