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Finding the Fourth Proportional to 19,879.97, 29,824.83 and 9,889.43

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Solution

The fourth proportional to 19,879.97, 29,824.83 and 9,889.43 is: 14,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.97 : 29,824.83 = 9,889.43 : x
  2. Step 2: Convert to fraction form
    19,879.97/29,824.83 = 9,889.43/x
  3. Step 3: Cross multiply
    19,879.97x = 29,824.83 × 9,889.43
  4. Step 4: Simplify right side
    19,879.97x = 294,950,419.42
  5. Step 5: Solve for x
    x = 294,950,419.42/19,879.97
  6. Step 6: Final answer
    x = 14,836.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.