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Finding the Fourth Proportional to 16,223, 24,334.50 and 3,911

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Solution

The fourth proportional to 16,223, 24,334.50 and 3,911 is: 5,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223 : 24,334.50 = 3,911 : x
  2. Step 2: Convert to fraction form
    16,223/24,334.50 = 3,911/x
  3. Step 3: Cross multiply
    16,223x = 24,334.50 × 3,911
  4. Step 4: Simplify right side
    16,223x = 95,172,229.50
  5. Step 5: Solve for x
    x = 95,172,229.50/16,223
  6. Step 6: Final answer
    x = 5,866.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.