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Finding the Fourth Proportional to 13,783.10, 20,674.71 and 3,394.86

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Solution

The fourth proportional to 13,783.10, 20,674.71 and 3,394.86 is: 5,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.10 : 20,674.71 = 3,394.86 : x
  2. Step 2: Convert to fraction form
    13,783.10/20,674.71 = 3,394.86/x
  3. Step 3: Cross multiply
    13,783.10x = 20,674.71 × 3,394.86
  4. Step 4: Simplify right side
    13,783.10x = 70,187,745.99
  5. Step 5: Solve for x
    x = 70,187,745.99/13,783.10
  6. Step 6: Final answer
    x = 5,092.30

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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.