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Finding the Fourth Proportional to 12,811.20, 19,202.40 and 6,568.80

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Solution

The fourth proportional to 12,811.20, 19,202.40 and 6,568.80 is: 9,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.20 : 19,202.40 = 6,568.80 : x
  2. Step 2: Convert to fraction form
    12,811.20/19,202.40 = 6,568.80/x
  3. Step 3: Cross multiply
    12,811.20x = 19,202.40 × 6,568.80
  4. Step 4: Simplify right side
    12,811.20x = 126,136,725.12
  5. Step 5: Solve for x
    x = 126,136,725.12/12,811.20
  6. Step 6: Final answer
    x = 9,845.82

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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.