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Finding the Fourth Proportional to 13,771.11, 20,642.45 and 5,447.75

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Solution

The fourth proportional to 13,771.11, 20,642.45 and 5,447.75 is: 8,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.11 : 20,642.45 = 5,447.75 : x
  2. Step 2: Convert to fraction form
    13,771.11/20,642.45 = 5,447.75/x
  3. Step 3: Cross multiply
    13,771.11x = 20,642.45 × 5,447.75
  4. Step 4: Simplify right side
    13,771.11x = 112,454,776.54
  5. Step 5: Solve for x
    x = 112,454,776.54/13,771.11
  6. Step 6: Final answer
    x = 8,165.99

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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.