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Finding the Fourth Proportional to 12,811.17, 17,682.26 and 8,094.54

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Solution

The fourth proportional to 12,811.17, 17,682.26 and 8,094.54 is: 11,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.17 : 17,682.26 = 8,094.54 : x
  2. Step 2: Convert to fraction form
    12,811.17/17,682.26 = 8,094.54/x
  3. Step 3: Cross multiply
    12,811.17x = 17,682.26 × 8,094.54
  4. Step 4: Simplify right side
    12,811.17x = 143,129,720.39
  5. Step 5: Solve for x
    x = 143,129,720.39/12,811.17
  6. Step 6: Final answer
    x = 11,172.26

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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.