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Finding the Fourth Proportional to 13,760.98, 20,548.21 and 10,806.10

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Solution

The fourth proportional to 13,760.98, 20,548.21 and 10,806.10 is: 16,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.98 : 20,548.21 = 10,806.10 : x
  2. Step 2: Convert to fraction form
    13,760.98/20,548.21 = 10,806.10/x
  3. Step 3: Cross multiply
    13,760.98x = 20,548.21 × 10,806.10
  4. Step 4: Simplify right side
    13,760.98x = 222,045,958.05
  5. Step 5: Solve for x
    x = 222,045,958.05/13,760.98
  6. Step 6: Final answer
    x = 16,135.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.