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Finding the Fourth Proportional to 30,212.36, 41,698.02 and 17,634.68

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Solution

The fourth proportional to 30,212.36, 41,698.02 and 17,634.68 is: 24,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.36 : 41,698.02 = 17,634.68 : x
  2. Step 2: Convert to fraction form
    30,212.36/41,698.02 = 17,634.68/x
  3. Step 3: Cross multiply
    30,212.36x = 41,698.02 × 17,634.68
  4. Step 4: Simplify right side
    30,212.36x = 735,331,239.33
  5. Step 5: Solve for x
    x = 735,331,239.33/30,212.36
  6. Step 6: Final answer
    x = 24,338.76

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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.