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Finding the Fourth Proportional to 13,619.50, 20,430.42 and 3,758.78

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Solution

The fourth proportional to 13,619.50, 20,430.42 and 3,758.78 is: 5,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.50 : 20,430.42 = 3,758.78 : x
  2. Step 2: Convert to fraction form
    13,619.50/20,430.42 = 3,758.78/x
  3. Step 3: Cross multiply
    13,619.50x = 20,430.42 × 3,758.78
  4. Step 4: Simplify right side
    13,619.50x = 76,793,431.68
  5. Step 5: Solve for x
    x = 76,793,431.68/13,619.50
  6. Step 6: Final answer
    x = 5,638.49

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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.