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Finding the Fourth Proportional to 13,481.90, 20,223.71 and 4,122.25

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Solution

The fourth proportional to 13,481.90, 20,223.71 and 4,122.25 is: 6,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.90 : 20,223.71 = 4,122.25 : x
  2. Step 2: Convert to fraction form
    13,481.90/20,223.71 = 4,122.25/x
  3. Step 3: Cross multiply
    13,481.90x = 20,223.71 × 4,122.25
  4. Step 4: Simplify right side
    13,481.90x = 83,367,117.38
  5. Step 5: Solve for x
    x = 83,367,117.38/13,481.90
  6. Step 6: Final answer
    x = 6,183.63

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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.