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Finding the Fourth Proportional to 20,346.50, 30,520.29 and 6,495.50

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Solution

The fourth proportional to 20,346.50, 30,520.29 and 6,495.50 is: 9,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,346.50 : 30,520.29 = 6,495.50 : x
  2. Step 2: Convert to fraction form
    20,346.50/30,520.29 = 6,495.50/x
  3. Step 3: Cross multiply
    20,346.50x = 30,520.29 × 6,495.50
  4. Step 4: Simplify right side
    20,346.50x = 198,244,543.70
  5. Step 5: Solve for x
    x = 198,244,543.70/20,346.50
  6. Step 6: Final answer
    x = 9,743.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.