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Finding the Fourth Proportional to 20,801.09, 31,214.00 and 7,662.69

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Solution

The fourth proportional to 20,801.09, 31,214.00 and 7,662.69 is: 11,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.09 : 31,214.00 = 7,662.69 : x
  2. Step 2: Convert to fraction form
    20,801.09/31,214.00 = 7,662.69/x
  3. Step 3: Cross multiply
    20,801.09x = 31,214.00 × 7,662.69
  4. Step 4: Simplify right side
    20,801.09x = 239,183,224.82
  5. Step 5: Solve for x
    x = 239,183,224.82/20,801.09
  6. Step 6: Final answer
    x = 11,498.59

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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.