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Finding the Fourth Proportional to 20,800.67, 31,203.63 and 7,662.20

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Solution

The fourth proportional to 20,800.67, 31,203.63 and 7,662.20 is: 11,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.67 : 31,203.63 = 7,662.20 : x
  2. Step 2: Convert to fraction form
    20,800.67/31,203.63 = 7,662.20/x
  3. Step 3: Cross multiply
    20,800.67x = 31,203.63 × 7,662.20
  4. Step 4: Simplify right side
    20,800.67x = 239,088,297.77
  5. Step 5: Solve for x
    x = 239,088,297.77/20,800.67
  6. Step 6: Final answer
    x = 11,494.26

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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.