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Finding the Fourth Proportional to 13,743.80, 20,606.70 and 5,418.80

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Solution

The fourth proportional to 13,743.80, 20,606.70 and 5,418.80 is: 8,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.80 : 20,606.70 = 5,418.80 : x
  2. Step 2: Convert to fraction form
    13,743.80/20,606.70 = 5,418.80/x
  3. Step 3: Cross multiply
    13,743.80x = 20,606.70 × 5,418.80
  4. Step 4: Simplify right side
    13,743.80x = 111,663,585.96
  5. Step 5: Solve for x
    x = 111,663,585.96/13,743.80
  6. Step 6: Final answer
    x = 8,124.65

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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.