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Finding the Fourth Proportional to 22,843.10, 34,199 and 16,879.88

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Solution

The fourth proportional to 22,843.10, 34,199 and 16,879.88 is: 25,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.10 : 34,199 = 16,879.88 : x
  2. Step 2: Convert to fraction form
    22,843.10/34,199 = 16,879.88/x
  3. Step 3: Cross multiply
    22,843.10x = 34,199 × 16,879.88
  4. Step 4: Simplify right side
    22,843.10x = 577,275,016.12
  5. Step 5: Solve for x
    x = 577,275,016.12/22,843.10
  6. Step 6: Final answer
    x = 25,271.31

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