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Finding the Fourth Proportional to 16,227, 22,393.33 and 8,775

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Solution

The fourth proportional to 16,227, 22,393.33 and 8,775 is: 12,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227 : 22,393.33 = 8,775 : x
  2. Step 2: Convert to fraction form
    16,227/22,393.33 = 8,775/x
  3. Step 3: Cross multiply
    16,227x = 22,393.33 × 8,775
  4. Step 4: Simplify right side
    16,227x = 196,501,448.81
  5. Step 5: Solve for x
    x = 196,501,448.81/16,227
  6. Step 6: Final answer
    x = 12,109.54

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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.