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Finding the Fourth Proportional to 24,170, 33,354.69 and 14,105.39

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Solution

The fourth proportional to 24,170, 33,354.69 and 14,105.39 is: 19,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,170 : 33,354.69 = 14,105.39 : x
  2. Step 2: Convert to fraction form
    24,170/33,354.69 = 14,105.39/x
  3. Step 3: Cross multiply
    24,170x = 33,354.69 × 14,105.39
  4. Step 4: Simplify right side
    24,170x = 470,480,910.78
  5. Step 5: Solve for x
    x = 470,480,910.78/24,170
  6. Step 6: Final answer
    x = 19,465.49

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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.