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Finding the Fourth Proportional to 16,253, 24,379.50 and 3,941

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Solution

The fourth proportional to 16,253, 24,379.50 and 3,941 is: 5,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253 : 24,379.50 = 3,941 : x
  2. Step 2: Convert to fraction form
    16,253/24,379.50 = 3,941/x
  3. Step 3: Cross multiply
    16,253x = 24,379.50 × 3,941
  4. Step 4: Simplify right side
    16,253x = 96,079,609.50
  5. Step 5: Solve for x
    x = 96,079,609.50/16,253
  6. Step 6: Final answer
    x = 5,911.50

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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.