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Finding the Fourth Proportional to 13,564.52, 20,338.94 and 4,202.04

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Solution

The fourth proportional to 13,564.52, 20,338.94 and 4,202.04 is: 6,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.52 : 20,338.94 = 4,202.04 : x
  2. Step 2: Convert to fraction form
    13,564.52/20,338.94 = 4,202.04/x
  3. Step 3: Cross multiply
    13,564.52x = 20,338.94 × 4,202.04
  4. Step 4: Simplify right side
    13,564.52x = 85,465,039.44
  5. Step 5: Solve for x
    x = 85,465,039.44/13,564.52
  6. Step 6: Final answer
    x = 6,300.63

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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.