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Finding the Fourth Proportional to 12,979.20, 19,481.60 and 6,412.80

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Solution

The fourth proportional to 12,979.20, 19,481.60 and 6,412.80 is: 9,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,979.20 : 19,481.60 = 6,412.80 : x
  2. Step 2: Convert to fraction form
    12,979.20/19,481.60 = 6,412.80/x
  3. Step 3: Cross multiply
    12,979.20x = 19,481.60 × 6,412.80
  4. Step 4: Simplify right side
    12,979.20x = 124,931,604.48
  5. Step 5: Solve for x
    x = 124,931,604.48/12,979.20
  6. Step 6: Final answer
    x = 9,625.52

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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.