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Finding the Fourth Proportional to 12,765.20, 19,147.80 and 3,405.20

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Solution

The fourth proportional to 12,765.20, 19,147.80 and 3,405.20 is: 5,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.20 : 19,147.80 = 3,405.20 : x
  2. Step 2: Convert to fraction form
    12,765.20/19,147.80 = 3,405.20/x
  3. Step 3: Cross multiply
    12,765.20x = 19,147.80 × 3,405.20
  4. Step 4: Simplify right side
    12,765.20x = 65,202,088.56
  5. Step 5: Solve for x
    x = 65,202,088.56/12,765.20
  6. Step 6: Final answer
    x = 5,107.80

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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.