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Finding the Fourth Proportional to 24,379, 33,643.26 and 13,201.24

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Solution

The fourth proportional to 24,379, 33,643.26 and 13,201.24 is: 18,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379 : 33,643.26 = 13,201.24 : x
  2. Step 2: Convert to fraction form
    24,379/33,643.26 = 13,201.24/x
  3. Step 3: Cross multiply
    24,379x = 33,643.26 × 13,201.24
  4. Step 4: Simplify right side
    24,379x = 444,132,749.64
  5. Step 5: Solve for x
    x = 444,132,749.64/24,379
  6. Step 6: Final answer
    x = 18,217.84

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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.