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Finding the Fourth Proportional to 13,198.38, 18,213.53 and 7,230.03

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Solution

The fourth proportional to 13,198.38, 18,213.53 and 7,230.03 is: 9,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.38 : 18,213.53 = 7,230.03 : x
  2. Step 2: Convert to fraction form
    13,198.38/18,213.53 = 7,230.03/x
  3. Step 3: Cross multiply
    13,198.38x = 18,213.53 × 7,230.03
  4. Step 4: Simplify right side
    13,198.38x = 131,684,368.31
  5. Step 5: Solve for x
    x = 131,684,368.31/13,198.38
  6. Step 6: Final answer
    x = 9,977.31

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Why These Related Problems?

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