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Finding the Fourth Proportional to 12,578.40, 18,889.20 and 8,906.40

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Solution

The fourth proportional to 12,578.40, 18,889.20 and 8,906.40 is: 13,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.40 : 18,889.20 = 8,906.40 : x
  2. Step 2: Convert to fraction form
    12,578.40/18,889.20 = 8,906.40/x
  3. Step 3: Cross multiply
    12,578.40x = 18,889.20 × 8,906.40
  4. Step 4: Simplify right side
    12,578.40x = 168,234,770.88
  5. Step 5: Solve for x
    x = 168,234,770.88/12,578.40
  6. Step 6: Final answer
    x = 13,374.89

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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.