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Finding the Fourth Proportional to 12,851.73, 19,173.89 and 11,449.31

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Solution

The fourth proportional to 12,851.73, 19,173.89 and 11,449.31 is: 17,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.73 : 19,173.89 = 11,449.31 : x
  2. Step 2: Convert to fraction form
    12,851.73/19,173.89 = 11,449.31/x
  3. Step 3: Cross multiply
    12,851.73x = 19,173.89 × 11,449.31
  4. Step 4: Simplify right side
    12,851.73x = 219,527,743.27
  5. Step 5: Solve for x
    x = 219,527,743.27/12,851.73
  6. Step 6: Final answer
    x = 17,081.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.