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Finding the Fourth Proportional to 12,891.60, 19,344.60 and 5,494.80

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Solution

The fourth proportional to 12,891.60, 19,344.60 and 5,494.80 is: 8,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.60 : 19,344.60 = 5,494.80 : x
  2. Step 2: Convert to fraction form
    12,891.60/19,344.60 = 5,494.80/x
  3. Step 3: Cross multiply
    12,891.60x = 19,344.60 × 5,494.80
  4. Step 4: Simplify right side
    12,891.60x = 106,294,708.08
  5. Step 5: Solve for x
    x = 106,294,708.08/12,891.60
  6. Step 6: Final answer
    x = 8,245.27

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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.