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Finding the Fourth Proportional to 13,789, 20,683.91 and 3,400.75

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Solution

The fourth proportional to 13,789, 20,683.91 and 3,400.75 is: 5,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789 : 20,683.91 = 3,400.75 : x
  2. Step 2: Convert to fraction form
    13,789/20,683.91 = 3,400.75/x
  3. Step 3: Cross multiply
    13,789x = 20,683.91 × 3,400.75
  4. Step 4: Simplify right side
    13,789x = 70,340,806.93
  5. Step 5: Solve for x
    x = 70,340,806.93/13,789
  6. Step 6: Final answer
    x = 5,101.23

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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.