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Finding the Fourth Proportional to 16,684.48, 23,027.17 and 9,514.41

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Solution

The fourth proportional to 16,684.48, 23,027.17 and 9,514.41 is: 13,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.48 : 23,027.17 = 9,514.41 : x
  2. Step 2: Convert to fraction form
    16,684.48/23,027.17 = 9,514.41/x
  3. Step 3: Cross multiply
    16,684.48x = 23,027.17 × 9,514.41
  4. Step 4: Simplify right side
    16,684.48x = 219,089,936.52
  5. Step 5: Solve for x
    x = 219,089,936.52/16,684.48
  6. Step 6: Final answer
    x = 13,131.36

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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.