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Finding the Fourth Proportional to 12,203.46, 18,313.39 and 6,660.78

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Solution

The fourth proportional to 12,203.46, 18,313.39 and 6,660.78 is: 9,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.46 : 18,313.39 = 6,660.78 : x
  2. Step 2: Convert to fraction form
    12,203.46/18,313.39 = 6,660.78/x
  3. Step 3: Cross multiply
    12,203.46x = 18,313.39 × 6,660.78
  4. Step 4: Simplify right side
    12,203.46x = 121,981,504.51
  5. Step 5: Solve for x
    x = 121,981,504.51/12,203.46
  6. Step 6: Final answer
    x = 9,995.65

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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.