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Finding the Fourth Proportional to 13,773.71, 20,660.57 and 3,911.71

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Solution

The fourth proportional to 13,773.71, 20,660.57 and 3,911.71 is: 5,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.71 : 20,660.57 = 3,911.71 : x
  2. Step 2: Convert to fraction form
    13,773.71/20,660.57 = 3,911.71/x
  3. Step 3: Cross multiply
    13,773.71x = 20,660.57 × 3,911.71
  4. Step 4: Simplify right side
    13,773.71x = 80,818,087.06
  5. Step 5: Solve for x
    x = 80,818,087.06/13,773.71
  6. Step 6: Final answer
    x = 5,867.56

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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.