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Finding the Fourth Proportional to 13,418.33, 18,517.01 and 7,449.64

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Solution

The fourth proportional to 13,418.33, 18,517.01 and 7,449.64 is: 10,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.33 : 18,517.01 = 7,449.64 : x
  2. Step 2: Convert to fraction form
    13,418.33/18,517.01 = 7,449.64/x
  3. Step 3: Cross multiply
    13,418.33x = 18,517.01 × 7,449.64
  4. Step 4: Simplify right side
    13,418.33x = 137,945,058.38
  5. Step 5: Solve for x
    x = 137,945,058.38/13,418.33
  6. Step 6: Final answer
    x = 10,280.34

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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.