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Finding the Fourth Proportional to 11,828.31, 16,324.22 and 8,838.95

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Solution

The fourth proportional to 11,828.31, 16,324.22 and 8,838.95 is: 12,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.31 : 16,324.22 = 8,838.95 : x
  2. Step 2: Convert to fraction form
    11,828.31/16,324.22 = 8,838.95/x
  3. Step 3: Cross multiply
    11,828.31x = 16,324.22 × 8,838.95
  4. Step 4: Simplify right side
    11,828.31x = 144,288,920.17
  5. Step 5: Solve for x
    x = 144,288,920.17/11,828.31
  6. Step 6: Final answer
    x = 12,198.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.