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Finding the Fourth Proportional to 24,379.46, 33,647 and 14,031

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Solution

The fourth proportional to 24,379.46, 33,647 and 14,031 is: 19,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.46 : 33,647 = 14,031 : x
  2. Step 2: Convert to fraction form
    24,379.46/33,647 = 14,031/x
  3. Step 3: Cross multiply
    24,379.46x = 33,647 × 14,031
  4. Step 4: Simplify right side
    24,379.46x = 472,101,057
  5. Step 5: Solve for x
    x = 472,101,057/24,379.46
  6. Step 6: Final answer
    x = 19,364.71

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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.