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Finding the Fourth Proportional to 12,216.13, 16,843.48 and 10,324.38

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Solution

The fourth proportional to 12,216.13, 16,843.48 and 10,324.38 is: 14,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.13 : 16,843.48 = 10,324.38 : x
  2. Step 2: Convert to fraction form
    12,216.13/16,843.48 = 10,324.38/x
  3. Step 3: Cross multiply
    12,216.13x = 16,843.48 × 10,324.38
  4. Step 4: Simplify right side
    12,216.13x = 173,898,488.04
  5. Step 5: Solve for x
    x = 173,898,488.04/12,216.13
  6. Step 6: Final answer
    x = 14,235.15

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Why These Related Problems?

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