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Finding the Fourth Proportional to 12,884.00, 17,766.14 and 8,094.47

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Solution

The fourth proportional to 12,884.00, 17,766.14 and 8,094.47 is: 11,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.00 : 17,766.14 = 8,094.47 : x
  2. Step 2: Convert to fraction form
    12,884.00/17,766.14 = 8,094.47/x
  3. Step 3: Cross multiply
    12,884.00x = 17,766.14 × 8,094.47
  4. Step 4: Simplify right side
    12,884.00x = 143,807,357.94
  5. Step 5: Solve for x
    x = 143,807,357.94/12,884.00
  6. Step 6: Final answer
    x = 11,161.71

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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.