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Finding the Fourth Proportional to 20,820, 31,211.46 and 7,669.20

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Solution

The fourth proportional to 20,820, 31,211.46 and 7,669.20 is: 11,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820 : 31,211.46 = 7,669.20 : x
  2. Step 2: Convert to fraction form
    20,820/31,211.46 = 7,669.20/x
  3. Step 3: Cross multiply
    20,820x = 31,211.46 × 7,669.20
  4. Step 4: Simplify right side
    20,820x = 239,366,929.03
  5. Step 5: Solve for x
    x = 239,366,929.03/20,820
  6. Step 6: Final answer
    x = 11,496.97

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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.