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Finding the Fourth Proportional to 12,181.44, 18,273.12 and 6,024

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Solution

The fourth proportional to 12,181.44, 18,273.12 and 6,024 is: 9,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.44 : 18,273.12 = 6,024 : x
  2. Step 2: Convert to fraction form
    12,181.44/18,273.12 = 6,024/x
  3. Step 3: Cross multiply
    12,181.44x = 18,273.12 × 6,024
  4. Step 4: Simplify right side
    12,181.44x = 110,077,274.88
  5. Step 5: Solve for x
    x = 110,077,274.88/12,181.44
  6. Step 6: Final answer
    x = 9,036.47

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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.