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Finding the Fourth Proportional to 12,216.26, 16,843.65 and 10,324.50

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Solution

The fourth proportional to 12,216.26, 16,843.65 and 10,324.50 is: 14,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.26 : 16,843.65 = 10,324.50 : x
  2. Step 2: Convert to fraction form
    12,216.26/16,843.65 = 10,324.50/x
  3. Step 3: Cross multiply
    12,216.26x = 16,843.65 × 10,324.50
  4. Step 4: Simplify right side
    12,216.26x = 173,902,264.43
  5. Step 5: Solve for x
    x = 173,902,264.43/12,216.26
  6. Step 6: Final answer
    x = 14,235.31

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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.