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Finding the Fourth Proportional to 12,015.02, 18,034.06 and 6,825.26

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Solution

The fourth proportional to 12,015.02, 18,034.06 and 6,825.26 is: 10,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.02 : 18,034.06 = 6,825.26 : x
  2. Step 2: Convert to fraction form
    12,015.02/18,034.06 = 6,825.26/x
  3. Step 3: Cross multiply
    12,015.02x = 18,034.06 × 6,825.26
  4. Step 4: Simplify right side
    12,015.02x = 123,087,148.36
  5. Step 5: Solve for x
    x = 123,087,148.36/12,015.02
  6. Step 6: Final answer
    x = 10,244.44

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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.