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Finding the Fourth Proportional to 12,769.96, 19,154.42 and 3,409.96

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Solution

The fourth proportional to 12,769.96, 19,154.42 and 3,409.96 is: 5,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.96 : 19,154.42 = 3,409.96 : x
  2. Step 2: Convert to fraction form
    12,769.96/19,154.42 = 3,409.96/x
  3. Step 3: Cross multiply
    12,769.96x = 19,154.42 × 3,409.96
  4. Step 4: Simplify right side
    12,769.96x = 65,315,806.02
  5. Step 5: Solve for x
    x = 65,315,806.02/12,769.96
  6. Step 6: Final answer
    x = 5,114.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.