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Finding the Fourth Proportional to 16,208, 22,367.04 and 8,756

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Solution

The fourth proportional to 16,208, 22,367.04 and 8,756 is: 12,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208 : 22,367.04 = 8,756 : x
  2. Step 2: Convert to fraction form
    16,208/22,367.04 = 8,756/x
  3. Step 3: Cross multiply
    16,208x = 22,367.04 × 8,756
  4. Step 4: Simplify right side
    16,208x = 195,845,802.24
  5. Step 5: Solve for x
    x = 195,845,802.24/16,208
  6. Step 6: Final answer
    x = 12,083.28

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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.