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Finding the Fourth Proportional to 16,684.75, 23,027.54 and 9,514.68

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Solution

The fourth proportional to 16,684.75, 23,027.54 and 9,514.68 is: 13,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.75 : 23,027.54 = 9,514.68 : x
  2. Step 2: Convert to fraction form
    16,684.75/23,027.54 = 9,514.68/x
  3. Step 3: Cross multiply
    16,684.75x = 23,027.54 × 9,514.68
  4. Step 4: Simplify right side
    16,684.75x = 219,099,626.26
  5. Step 5: Solve for x
    x = 219,099,626.26/16,684.75
  6. Step 6: Final answer
    x = 13,131.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.