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Finding the Fourth Proportional to 16,216.39, 22,377.49 and 9,141.31

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Solution

The fourth proportional to 16,216.39, 22,377.49 and 9,141.31 is: 12,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.39 : 22,377.49 = 9,141.31 : x
  2. Step 2: Convert to fraction form
    16,216.39/22,377.49 = 9,141.31/x
  3. Step 3: Cross multiply
    16,216.39x = 22,377.49 × 9,141.31
  4. Step 4: Simplify right side
    16,216.39x = 204,559,573.11
  5. Step 5: Solve for x
    x = 204,559,573.11/16,216.39
  6. Step 6: Final answer
    x = 12,614.37

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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.