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Finding the Fourth Proportional to 23,067.99, 31,821.39 and 15,424.43

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Solution

The fourth proportional to 23,067.99, 31,821.39 and 15,424.43 is: 21,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,067.99 : 31,821.39 = 15,424.43 : x
  2. Step 2: Convert to fraction form
    23,067.99/31,821.39 = 15,424.43/x
  3. Step 3: Cross multiply
    23,067.99x = 31,821.39 × 15,424.43
  4. Step 4: Simplify right side
    23,067.99x = 490,826,643.45
  5. Step 5: Solve for x
    x = 490,826,643.45/23,067.99
  6. Step 6: Final answer
    x = 21,277.39

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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.