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Finding the Fourth Proportional to 12,647.69, 18,987.26 and 8,190.77

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Solution

The fourth proportional to 12,647.69, 18,987.26 and 8,190.77 is: 12,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.69 : 18,987.26 = 8,190.77 : x
  2. Step 2: Convert to fraction form
    12,647.69/18,987.26 = 8,190.77/x
  3. Step 3: Cross multiply
    12,647.69x = 18,987.26 × 8,190.77
  4. Step 4: Simplify right side
    12,647.69x = 155,520,296.58
  5. Step 5: Solve for x
    x = 155,520,296.58/12,647.69
  6. Step 6: Final answer
    x = 12,296.34

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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.