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Finding the Fourth Proportional to 13,456.73, 20,188.14 and 4,097.59

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Solution

The fourth proportional to 13,456.73, 20,188.14 and 4,097.59 is: 6,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.73 : 20,188.14 = 4,097.59 : x
  2. Step 2: Convert to fraction form
    13,456.73/20,188.14 = 4,097.59/x
  3. Step 3: Cross multiply
    13,456.73x = 20,188.14 × 4,097.59
  4. Step 4: Simplify right side
    13,456.73x = 82,722,654.75
  5. Step 5: Solve for x
    x = 82,722,654.75/13,456.73
  6. Step 6: Final answer
    x = 6,147.31

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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.