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Finding the Fourth Proportional to 13,930.16, 20,894.97 and 3,400.25

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Solution

The fourth proportional to 13,930.16, 20,894.97 and 3,400.25 is: 5,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.16 : 20,894.97 = 3,400.25 : x
  2. Step 2: Convert to fraction form
    13,930.16/20,894.97 = 3,400.25/x
  3. Step 3: Cross multiply
    13,930.16x = 20,894.97 × 3,400.25
  4. Step 4: Simplify right side
    13,930.16x = 71,048,121.74
  5. Step 5: Solve for x
    x = 71,048,121.74/13,930.16
  6. Step 6: Final answer
    x = 5,100.31

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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.