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Finding the Fourth Proportional to 21,991.97, 30,348.45 and 11,920.02

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Solution

The fourth proportional to 21,991.97, 30,348.45 and 11,920.02 is: 16,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.97 : 30,348.45 = 11,920.02 : x
  2. Step 2: Convert to fraction form
    21,991.97/30,348.45 = 11,920.02/x
  3. Step 3: Cross multiply
    21,991.97x = 30,348.45 × 11,920.02
  4. Step 4: Simplify right side
    21,991.97x = 361,754,130.97
  5. Step 5: Solve for x
    x = 361,754,130.97/21,991.97
  6. Step 6: Final answer
    x = 16,449.38

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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.