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Finding the Fourth Proportional to 12,514.80, 17,273.34 and 8,266.62

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Solution

The fourth proportional to 12,514.80, 17,273.34 and 8,266.62 is: 11,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.80 : 17,273.34 = 8,266.62 : x
  2. Step 2: Convert to fraction form
    12,514.80/17,273.34 = 8,266.62/x
  3. Step 3: Cross multiply
    12,514.80x = 17,273.34 × 8,266.62
  4. Step 4: Simplify right side
    12,514.80x = 142,792,137.91
  5. Step 5: Solve for x
    x = 142,792,137.91/12,514.80
  6. Step 6: Final answer
    x = 11,409.86

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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.