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Finding the Fourth Proportional to 13,771.60, 20,655.16 and 3,908.42

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Solution

The fourth proportional to 13,771.60, 20,655.16 and 3,908.42 is: 5,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.60 : 20,655.16 = 3,908.42 : x
  2. Step 2: Convert to fraction form
    13,771.60/20,655.16 = 3,908.42/x
  3. Step 3: Cross multiply
    13,771.60x = 20,655.16 × 3,908.42
  4. Step 4: Simplify right side
    13,771.60x = 80,729,040.45
  5. Step 5: Solve for x
    x = 80,729,040.45/13,771.60
  6. Step 6: Final answer
    x = 5,861.99

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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.