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Finding the Fourth Proportional to 21,930.49, 30,262.24 and 12,976.43

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Solution

The fourth proportional to 21,930.49, 30,262.24 and 12,976.43 is: 17,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.49 : 30,262.24 = 12,976.43 : x
  2. Step 2: Convert to fraction form
    21,930.49/30,262.24 = 12,976.43/x
  3. Step 3: Cross multiply
    21,930.49x = 30,262.24 × 12,976.43
  4. Step 4: Simplify right side
    21,930.49x = 392,695,703.91
  5. Step 5: Solve for x
    x = 392,695,703.91/21,930.49
  6. Step 6: Final answer
    x = 17,906.38

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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.