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Finding the Fourth Proportional to 12,594.42, 18,858.69 and 8,427.78

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Solution

The fourth proportional to 12,594.42, 18,858.69 and 8,427.78 is: 12,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.42 : 18,858.69 = 8,427.78 : x
  2. Step 2: Convert to fraction form
    12,594.42/18,858.69 = 8,427.78/x
  3. Step 3: Cross multiply
    12,594.42x = 18,858.69 × 8,427.78
  4. Step 4: Simplify right side
    12,594.42x = 158,936,890.41
  5. Step 5: Solve for x
    x = 158,936,890.41/12,594.42
  6. Step 6: Final answer
    x = 12,619.63

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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.