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Finding the Fourth Proportional to 13,685.69, 20,528.57 and 3,824.96

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Solution

The fourth proportional to 13,685.69, 20,528.57 and 3,824.96 is: 5,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.69 : 20,528.57 = 3,824.96 : x
  2. Step 2: Convert to fraction form
    13,685.69/20,528.57 = 3,824.96/x
  3. Step 3: Cross multiply
    13,685.69x = 20,528.57 × 3,824.96
  4. Step 4: Simplify right side
    13,685.69x = 78,520,866.03
  5. Step 5: Solve for x
    x = 78,520,866.03/13,685.69
  6. Step 6: Final answer
    x = 5,737.44

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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.