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Finding the Fourth Proportional to 24,503, 33,814.26 and 13,325

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Solution

The fourth proportional to 24,503, 33,814.26 and 13,325 is: 18,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503 : 33,814.26 = 13,325 : x
  2. Step 2: Convert to fraction form
    24,503/33,814.26 = 13,325/x
  3. Step 3: Cross multiply
    24,503x = 33,814.26 × 13,325
  4. Step 4: Simplify right side
    24,503x = 450,575,014.50
  5. Step 5: Solve for x
    x = 450,575,014.50/24,503
  6. Step 6: Final answer
    x = 18,388.57

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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.