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Finding the Fourth Proportional to 17,827.06, 24,713.89 and 16,879

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Solution

The fourth proportional to 17,827.06, 24,713.89 and 16,879 is: 23,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.06 : 24,713.89 = 16,879 : x
  2. Step 2: Convert to fraction form
    17,827.06/24,713.89 = 16,879/x
  3. Step 3: Cross multiply
    17,827.06x = 24,713.89 × 16,879
  4. Step 4: Simplify right side
    17,827.06x = 417,145,749.31
  5. Step 5: Solve for x
    x = 417,145,749.31/17,827.06
  6. Step 6: Final answer
    x = 23,399.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.