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Finding the Fourth Proportional to 22,769.69, 31,422.31 and 12,698.77

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Solution

The fourth proportional to 22,769.69, 31,422.31 and 12,698.77 is: 17,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.69 : 31,422.31 = 12,698.77 : x
  2. Step 2: Convert to fraction form
    22,769.69/31,422.31 = 12,698.77/x
  3. Step 3: Cross multiply
    22,769.69x = 31,422.31 × 12,698.77
  4. Step 4: Simplify right side
    22,769.69x = 399,024,687.56
  5. Step 5: Solve for x
    x = 399,024,687.56/22,769.69
  6. Step 6: Final answer
    x = 17,524.38

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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.