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Finding the Fourth Proportional to 16,211, 24,316.50 and 3,899

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Solution

The fourth proportional to 16,211, 24,316.50 and 3,899 is: 5,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211 : 24,316.50 = 3,899 : x
  2. Step 2: Convert to fraction form
    16,211/24,316.50 = 3,899/x
  3. Step 3: Cross multiply
    16,211x = 24,316.50 × 3,899
  4. Step 4: Simplify right side
    16,211x = 94,810,033.50
  5. Step 5: Solve for x
    x = 94,810,033.50/16,211
  6. Step 6: Final answer
    x = 5,848.50

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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.