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Finding the Fourth Proportional to 12,147.50, 18,219.20 and 3,383.30

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Solution

The fourth proportional to 12,147.50, 18,219.20 and 3,383.30 is: 5,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.50 : 18,219.20 = 3,383.30 : x
  2. Step 2: Convert to fraction form
    12,147.50/18,219.20 = 3,383.30/x
  3. Step 3: Cross multiply
    12,147.50x = 18,219.20 × 3,383.30
  4. Step 4: Simplify right side
    12,147.50x = 61,641,019.36
  5. Step 5: Solve for x
    x = 61,641,019.36/12,147.50
  6. Step 6: Final answer
    x = 5,074.38

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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.