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Finding the Fourth Proportional to 13,940.90, 20,911.23 and 6,149.72

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Solution

The fourth proportional to 13,940.90, 20,911.23 and 6,149.72 is: 9,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.90 : 20,911.23 = 6,149.72 : x
  2. Step 2: Convert to fraction form
    13,940.90/20,911.23 = 6,149.72/x
  3. Step 3: Cross multiply
    13,940.90x = 20,911.23 × 6,149.72
  4. Step 4: Simplify right side
    13,940.90x = 128,598,209.36
  5. Step 5: Solve for x
    x = 128,598,209.36/13,940.90
  6. Step 6: Final answer
    x = 9,224.53

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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.