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Finding the Fourth Proportional to 16,223, 22,387.74 and 8,771

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Solution

The fourth proportional to 16,223, 22,387.74 and 8,771 is: 12,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223 : 22,387.74 = 8,771 : x
  2. Step 2: Convert to fraction form
    16,223/22,387.74 = 8,771/x
  3. Step 3: Cross multiply
    16,223x = 22,387.74 × 8,771
  4. Step 4: Simplify right side
    16,223x = 196,362,867.54
  5. Step 5: Solve for x
    x = 196,362,867.54/16,223
  6. Step 6: Final answer
    x = 12,103.98

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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.