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Finding the Fourth Proportional to 12,090.82, 18,146.22 and 6,172.08

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Solution

The fourth proportional to 12,090.82, 18,146.22 and 6,172.08 is: 9,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.82 : 18,146.22 = 6,172.08 : x
  2. Step 2: Convert to fraction form
    12,090.82/18,146.22 = 6,172.08/x
  3. Step 3: Cross multiply
    12,090.82x = 18,146.22 × 6,172.08
  4. Step 4: Simplify right side
    12,090.82x = 111,999,891.60
  5. Step 5: Solve for x
    x = 111,999,891.60/12,090.82
  6. Step 6: Final answer
    x = 9,263.22

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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.