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Finding the Fourth Proportional to 13,620.40, 20,431.78 and 3,759.68

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Solution

The fourth proportional to 13,620.40, 20,431.78 and 3,759.68 is: 5,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.40 : 20,431.78 = 3,759.68 : x
  2. Step 2: Convert to fraction form
    13,620.40/20,431.78 = 3,759.68/x
  3. Step 3: Cross multiply
    13,620.40x = 20,431.78 × 3,759.68
  4. Step 4: Simplify right side
    13,620.40x = 76,817,010.41
  5. Step 5: Solve for x
    x = 76,817,010.41/13,620.40
  6. Step 6: Final answer
    x = 5,639.85

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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.