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Finding the Fourth Proportional to 13,426.40, 20,149.20 and 5,640.80

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Solution

The fourth proportional to 13,426.40, 20,149.20 and 5,640.80 is: 8,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.40 : 20,149.20 = 5,640.80 : x
  2. Step 2: Convert to fraction form
    13,426.40/20,149.20 = 5,640.80/x
  3. Step 3: Cross multiply
    13,426.40x = 20,149.20 × 5,640.80
  4. Step 4: Simplify right side
    13,426.40x = 113,657,607.36
  5. Step 5: Solve for x
    x = 113,657,607.36/13,426.40
  6. Step 6: Final answer
    x = 8,465.23

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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.