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Finding the Fourth Proportional to 11,824.78, 17,632.86 and 11,243.41

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Solution

The fourth proportional to 11,824.78, 17,632.86 and 11,243.41 is: 16,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.78 : 17,632.86 = 11,243.41 : x
  2. Step 2: Convert to fraction form
    11,824.78/17,632.86 = 11,243.41/x
  3. Step 3: Cross multiply
    11,824.78x = 17,632.86 × 11,243.41
  4. Step 4: Simplify right side
    11,824.78x = 198,253,474.45
  5. Step 5: Solve for x
    x = 198,253,474.45/11,824.78
  6. Step 6: Final answer
    x = 16,765.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.