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Finding the Fourth Proportional to 20,546.42, 30,819.83 and 6,506.19

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Solution

The fourth proportional to 20,546.42, 30,819.83 and 6,506.19 is: 9,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.42 : 30,819.83 = 6,506.19 : x
  2. Step 2: Convert to fraction form
    20,546.42/30,819.83 = 6,506.19/x
  3. Step 3: Cross multiply
    20,546.42x = 30,819.83 × 6,506.19
  4. Step 4: Simplify right side
    20,546.42x = 200,519,637.22
  5. Step 5: Solve for x
    x = 200,519,637.22/20,546.42
  6. Step 6: Final answer
    x = 9,759.35

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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.