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Finding the Fourth Proportional to 18,632.31, 27,936.72 and 7,945.98

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Solution

The fourth proportional to 18,632.31, 27,936.72 and 7,945.98 is: 11,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632.31 : 27,936.72 = 7,945.98 : x
  2. Step 2: Convert to fraction form
    18,632.31/27,936.72 = 7,945.98/x
  3. Step 3: Cross multiply
    18,632.31x = 27,936.72 × 7,945.98
  4. Step 4: Simplify right side
    18,632.31x = 221,984,618.39
  5. Step 5: Solve for x
    x = 221,984,618.39/18,632.31
  6. Step 6: Final answer
    x = 11,913.96

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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.