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Finding the Fourth Proportional to 21,909, 30,234.42 and 11,973

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Solution

The fourth proportional to 21,909, 30,234.42 and 11,973 is: 16,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909 : 30,234.42 = 11,973 : x
  2. Step 2: Convert to fraction form
    21,909/30,234.42 = 11,973/x
  3. Step 3: Cross multiply
    21,909x = 30,234.42 × 11,973
  4. Step 4: Simplify right side
    21,909x = 361,996,710.66
  5. Step 5: Solve for x
    x = 361,996,710.66/21,909
  6. Step 6: Final answer
    x = 16,522.74

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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.