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Finding the Fourth Proportional to 21,907, 30,231.66 and 11,971

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Solution

The fourth proportional to 21,907, 30,231.66 and 11,971 is: 16,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907 : 30,231.66 = 11,971 : x
  2. Step 2: Convert to fraction form
    21,907/30,231.66 = 11,971/x
  3. Step 3: Cross multiply
    21,907x = 30,231.66 × 11,971
  4. Step 4: Simplify right side
    21,907x = 361,903,201.86
  5. Step 5: Solve for x
    x = 361,903,201.86/21,907
  6. Step 6: Final answer
    x = 16,519.98

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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.