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Finding the Fourth Proportional to 21,305.97, 29,455.38 and 15,991.56

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Solution

The fourth proportional to 21,305.97, 29,455.38 and 15,991.56 is: 22,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.97 : 29,455.38 = 15,991.56 : x
  2. Step 2: Convert to fraction form
    21,305.97/29,455.38 = 15,991.56/x
  3. Step 3: Cross multiply
    21,305.97x = 29,455.38 × 15,991.56
  4. Step 4: Simplify right side
    21,305.97x = 471,037,249.36
  5. Step 5: Solve for x
    x = 471,037,249.36/21,305.97
  6. Step 6: Final answer
    x = 22,108.23

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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.