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Finding the Fourth Proportional to 12,757.92, 19,134.96 and 3,398.50

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Solution

The fourth proportional to 12,757.92, 19,134.96 and 3,398.50 is: 5,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.92 : 19,134.96 = 3,398.50 : x
  2. Step 2: Convert to fraction form
    12,757.92/19,134.96 = 3,398.50/x
  3. Step 3: Cross multiply
    12,757.92x = 19,134.96 × 3,398.50
  4. Step 4: Simplify right side
    12,757.92x = 65,030,161.56
  5. Step 5: Solve for x
    x = 65,030,161.56/12,757.92
  6. Step 6: Final answer
    x = 5,097.24

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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.