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Finding the Fourth Proportional to 13,185.38, 18,195.62 and 7,216.90

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Solution

The fourth proportional to 13,185.38, 18,195.62 and 7,216.90 is: 9,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.38 : 18,195.62 = 7,216.90 : x
  2. Step 2: Convert to fraction form
    13,185.38/18,195.62 = 7,216.90/x
  3. Step 3: Cross multiply
    13,185.38x = 18,195.62 × 7,216.90
  4. Step 4: Simplify right side
    13,185.38x = 131,315,969.98
  5. Step 5: Solve for x
    x = 131,315,969.98/13,185.38
  6. Step 6: Final answer
    x = 9,959.21

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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.