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Finding the Fourth Proportional to 12,203.06, 18,305.76 and 3,318.50

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Solution

The fourth proportional to 12,203.06, 18,305.76 and 3,318.50 is: 4,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.06 : 18,305.76 = 3,318.50 : x
  2. Step 2: Convert to fraction form
    12,203.06/18,305.76 = 3,318.50/x
  3. Step 3: Cross multiply
    12,203.06x = 18,305.76 × 3,318.50
  4. Step 4: Simplify right side
    12,203.06x = 60,747,664.56
  5. Step 5: Solve for x
    x = 60,747,664.56/12,203.06
  6. Step 6: Final answer
    x = 4,978.07

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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.