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Finding the Fourth Proportional to 13,851, 20,776.91 and 3,462.75

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Solution

The fourth proportional to 13,851, 20,776.91 and 3,462.75 is: 5,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 20,776.91 = 3,462.75 : x
  2. Step 2: Convert to fraction form
    13,851/20,776.91 = 3,462.75/x
  3. Step 3: Cross multiply
    13,851x = 20,776.91 × 3,462.75
  4. Step 4: Simplify right side
    13,851x = 71,945,227.79
  5. Step 5: Solve for x
    x = 71,945,227.79/13,851
  6. Step 6: Final answer
    x = 5,194.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.