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Finding the Fourth Proportional to 12,273.50, 18,410.44 and 3,039.50

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Solution

The fourth proportional to 12,273.50, 18,410.44 and 3,039.50 is: 4,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.50 : 18,410.44 = 3,039.50 : x
  2. Step 2: Convert to fraction form
    12,273.50/18,410.44 = 3,039.50/x
  3. Step 3: Cross multiply
    12,273.50x = 18,410.44 × 3,039.50
  4. Step 4: Simplify right side
    12,273.50x = 55,958,532.38
  5. Step 5: Solve for x
    x = 55,958,532.38/12,273.50
  6. Step 6: Final answer
    x = 4,559.30

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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.