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Finding the Fourth Proportional to 16,296, 22,488.50 and 8,844

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Solution

The fourth proportional to 16,296, 22,488.50 and 8,844 is: 12,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296 : 22,488.50 = 8,844 : x
  2. Step 2: Convert to fraction form
    16,296/22,488.50 = 8,844/x
  3. Step 3: Cross multiply
    16,296x = 22,488.50 × 8,844
  4. Step 4: Simplify right side
    16,296x = 198,888,294
  5. Step 5: Solve for x
    x = 198,888,294/16,296
  6. Step 6: Final answer
    x = 12,204.73

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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.