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Finding the Fourth Proportional to 12,414.78, 18,621.21 and 4,095.06

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Solution

The fourth proportional to 12,414.78, 18,621.21 and 4,095.06 is: 6,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.78 : 18,621.21 = 4,095.06 : x
  2. Step 2: Convert to fraction form
    12,414.78/18,621.21 = 4,095.06/x
  3. Step 3: Cross multiply
    12,414.78x = 18,621.21 × 4,095.06
  4. Step 4: Simplify right side
    12,414.78x = 76,254,972.22
  5. Step 5: Solve for x
    x = 76,254,972.22/12,414.78
  6. Step 6: Final answer
    x = 6,142.27

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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.