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Finding the Fourth Proportional to 13,674.29, 20,512.58 and 3,813.68

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Solution

The fourth proportional to 13,674.29, 20,512.58 and 3,813.68 is: 5,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.29 : 20,512.58 = 3,813.68 : x
  2. Step 2: Convert to fraction form
    13,674.29/20,512.58 = 3,813.68/x
  3. Step 3: Cross multiply
    13,674.29x = 20,512.58 × 3,813.68
  4. Step 4: Simplify right side
    13,674.29x = 78,228,448.31
  5. Step 5: Solve for x
    x = 78,228,448.31/13,674.29
  6. Step 6: Final answer
    x = 5,720.84

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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.