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Finding the Fourth Proportional to 11,712.98, 17,578.56 and 8,180.03

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Solution

The fourth proportional to 11,712.98, 17,578.56 and 8,180.03 is: 12,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.98 : 17,578.56 = 8,180.03 : x
  2. Step 2: Convert to fraction form
    11,712.98/17,578.56 = 8,180.03/x
  3. Step 3: Cross multiply
    11,712.98x = 17,578.56 × 8,180.03
  4. Step 4: Simplify right side
    11,712.98x = 143,793,060.26
  5. Step 5: Solve for x
    x = 143,793,060.26/11,712.98
  6. Step 6: Final answer
    x = 12,276.39

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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.