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Finding the Fourth Proportional to 13,851.41, 20,777.11 and 3,463.16

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Solution

The fourth proportional to 13,851.41, 20,777.11 and 3,463.16 is: 5,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.41 : 20,777.11 = 3,463.16 : x
  2. Step 2: Convert to fraction form
    13,851.41/20,777.11 = 3,463.16/x
  3. Step 3: Cross multiply
    13,851.41x = 20,777.11 × 3,463.16
  4. Step 4: Simplify right side
    13,851.41x = 71,954,438.95
  5. Step 5: Solve for x
    x = 71,954,438.95/13,851.41
  6. Step 6: Final answer
    x = 5,194.74

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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.