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Finding the Fourth Proportional to 20,546.40, 30,819.81 and 6,506.17

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Solution

The fourth proportional to 20,546.40, 30,819.81 and 6,506.17 is: 9,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.40 : 30,819.81 = 6,506.17 : x
  2. Step 2: Convert to fraction form
    20,546.40/30,819.81 = 6,506.17/x
  3. Step 3: Cross multiply
    20,546.40x = 30,819.81 × 6,506.17
  4. Step 4: Simplify right side
    20,546.40x = 200,518,833.98
  5. Step 5: Solve for x
    x = 200,518,833.98/20,546.40
  6. Step 6: Final answer
    x = 9,759.32

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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.