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Finding the Fourth Proportional to 16,341, 22,550.94 and 8,889

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Solution

The fourth proportional to 16,341, 22,550.94 and 8,889 is: 12,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341 : 22,550.94 = 8,889 : x
  2. Step 2: Convert to fraction form
    16,341/22,550.94 = 8,889/x
  3. Step 3: Cross multiply
    16,341x = 22,550.94 × 8,889
  4. Step 4: Simplify right side
    16,341x = 200,455,305.66
  5. Step 5: Solve for x
    x = 200,455,305.66/16,341
  6. Step 6: Final answer
    x = 12,267.02

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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.