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Finding the Fourth Proportional to 13,761.73, 20,638.54 and 3,901.87

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Solution

The fourth proportional to 13,761.73, 20,638.54 and 3,901.87 is: 5,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.73 : 20,638.54 = 3,901.87 : x
  2. Step 2: Convert to fraction form
    13,761.73/20,638.54 = 3,901.87/x
  3. Step 3: Cross multiply
    13,761.73x = 20,638.54 × 3,901.87
  4. Step 4: Simplify right side
    13,761.73x = 80,528,777.37
  5. Step 5: Solve for x
    x = 80,528,777.37/13,761.73
  6. Step 6: Final answer
    x = 5,851.65

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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.