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Finding the Fourth Proportional to 13,774.50, 20,661.21 and 3,913.56

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Solution

The fourth proportional to 13,774.50, 20,661.21 and 3,913.56 is: 5,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.50 : 20,661.21 = 3,913.56 : x
  2. Step 2: Convert to fraction form
    13,774.50/20,661.21 = 3,913.56/x
  3. Step 3: Cross multiply
    13,774.50x = 20,661.21 × 3,913.56
  4. Step 4: Simplify right side
    13,774.50x = 80,858,885.01
  5. Step 5: Solve for x
    x = 80,858,885.01/13,774.50
  6. Step 6: Final answer
    x = 5,870.19

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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.