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Finding the Fourth Proportional to 13,801.50, 20,669.31 and 7,945.83

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Solution

The fourth proportional to 13,801.50, 20,669.31 and 7,945.83 is: 11,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.50 : 20,669.31 = 7,945.83 : x
  2. Step 2: Convert to fraction form
    13,801.50/20,669.31 = 7,945.83/x
  3. Step 3: Cross multiply
    13,801.50x = 20,669.31 × 7,945.83
  4. Step 4: Simplify right side
    13,801.50x = 164,234,823.48
  5. Step 5: Solve for x
    x = 164,234,823.48/13,801.50
  6. Step 6: Final answer
    x = 11,899.78

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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.