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Finding the Fourth Proportional to 12,198.33, 18,298.72 and 3,313.80

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Solution

The fourth proportional to 12,198.33, 18,298.72 and 3,313.80 is: 4,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.33 : 18,298.72 = 3,313.80 : x
  2. Step 2: Convert to fraction form
    12,198.33/18,298.72 = 3,313.80/x
  3. Step 3: Cross multiply
    12,198.33x = 18,298.72 × 3,313.80
  4. Step 4: Simplify right side
    12,198.33x = 60,638,298.34
  5. Step 5: Solve for x
    x = 60,638,298.34/12,198.33
  6. Step 6: Final answer
    x = 4,971.03

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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.