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Finding the Fourth Proportional to 16,341, 22,550.60 and 8,889

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Solution

The fourth proportional to 16,341, 22,550.60 and 8,889 is: 12,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341 : 22,550.60 = 8,889 : x
  2. Step 2: Convert to fraction form
    16,341/22,550.60 = 8,889/x
  3. Step 3: Cross multiply
    16,341x = 22,550.60 × 8,889
  4. Step 4: Simplify right side
    16,341x = 200,452,283.40
  5. Step 5: Solve for x
    x = 200,452,283.40/16,341
  6. Step 6: Final answer
    x = 12,266.83

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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.