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Finding the Fourth Proportional to 24,738.39, 34,139.38 and 13,408.24

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Solution

The fourth proportional to 24,738.39, 34,139.38 and 13,408.24 is: 18,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.39 : 34,139.38 = 13,408.24 : x
  2. Step 2: Convert to fraction form
    24,738.39/34,139.38 = 13,408.24/x
  3. Step 3: Cross multiply
    24,738.39x = 34,139.38 × 13,408.24
  4. Step 4: Simplify right side
    24,738.39x = 457,749,000.49
  5. Step 5: Solve for x
    x = 457,749,000.49/24,738.39
  6. Step 6: Final answer
    x = 18,503.59

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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.