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Finding the Fourth Proportional to 12,975.20, 19,467.60 and 5,189.60

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Solution

The fourth proportional to 12,975.20, 19,467.60 and 5,189.60 is: 7,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.20 : 19,467.60 = 5,189.60 : x
  2. Step 2: Convert to fraction form
    12,975.20/19,467.60 = 5,189.60/x
  3. Step 3: Cross multiply
    12,975.20x = 19,467.60 × 5,189.60
  4. Step 4: Simplify right side
    12,975.20x = 101,029,056.96
  5. Step 5: Solve for x
    x = 101,029,056.96/12,975.20
  6. Step 6: Final answer
    x = 7,786.32

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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.