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Finding the Fourth Proportional to 20,800.37, 31,167.75 and 7,634.63

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Solution

The fourth proportional to 20,800.37, 31,167.75 and 7,634.63 is: 11,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.37 : 31,167.75 = 7,634.63 : x
  2. Step 2: Convert to fraction form
    20,800.37/31,167.75 = 7,634.63/x
  3. Step 3: Cross multiply
    20,800.37x = 31,167.75 × 7,634.63
  4. Step 4: Simplify right side
    20,800.37x = 237,954,239.18
  5. Step 5: Solve for x
    x = 237,954,239.18/20,800.37
  6. Step 6: Final answer
    x = 11,439.90

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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.