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Finding the Fourth Proportional to 13,202.87, 18,217.64 and 7,535.03

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Solution

The fourth proportional to 13,202.87, 18,217.64 and 7,535.03 is: 10,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.87 : 18,217.64 = 7,535.03 : x
  2. Step 2: Convert to fraction form
    13,202.87/18,217.64 = 7,535.03/x
  3. Step 3: Cross multiply
    13,202.87x = 18,217.64 × 7,535.03
  4. Step 4: Simplify right side
    13,202.87x = 137,270,391.68
  5. Step 5: Solve for x
    x = 137,270,391.68/13,202.87
  6. Step 6: Final answer
    x = 10,397.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.