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Finding the Fourth Proportional to 12,228.63, 18,335.57 and 6,674.27

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Solution

The fourth proportional to 12,228.63, 18,335.57 and 6,674.27 is: 10,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.63 : 18,335.57 = 6,674.27 : x
  2. Step 2: Convert to fraction form
    12,228.63/18,335.57 = 6,674.27/x
  3. Step 3: Cross multiply
    12,228.63x = 18,335.57 × 6,674.27
  4. Step 4: Simplify right side
    12,228.63x = 122,376,419.73
  5. Step 5: Solve for x
    x = 122,376,419.73/12,228.63
  6. Step 6: Final answer
    x = 10,007.37

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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.