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Finding the Fourth Proportional to 13,826.40, 20,737.20 and 5,056.80

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Solution

The fourth proportional to 13,826.40, 20,737.20 and 5,056.80 is: 7,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.40 : 20,737.20 = 5,056.80 : x
  2. Step 2: Convert to fraction form
    13,826.40/20,737.20 = 5,056.80/x
  3. Step 3: Cross multiply
    13,826.40x = 20,737.20 × 5,056.80
  4. Step 4: Simplify right side
    13,826.40x = 104,863,872.96
  5. Step 5: Solve for x
    x = 104,863,872.96/13,826.40
  6. Step 6: Final answer
    x = 7,584.32

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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.