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Finding the Fourth Proportional to 14,514, 21,768.25 and 5,629.31

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Solution

The fourth proportional to 14,514, 21,768.25 and 5,629.31 is: 8,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514 : 21,768.25 = 5,629.31 : x
  2. Step 2: Convert to fraction form
    14,514/21,768.25 = 5,629.31/x
  3. Step 3: Cross multiply
    14,514x = 21,768.25 × 5,629.31
  4. Step 4: Simplify right side
    14,514x = 122,540,227.41
  5. Step 5: Solve for x
    x = 122,540,227.41/14,514
  6. Step 6: Final answer
    x = 8,442.90

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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.