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Finding the Fourth Proportional to 13,517.34, 18,651.99 and 7,927.26

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Solution

The fourth proportional to 13,517.34, 18,651.99 and 7,927.26 is: 10,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.34 : 18,651.99 = 7,927.26 : x
  2. Step 2: Convert to fraction form
    13,517.34/18,651.99 = 7,927.26/x
  3. Step 3: Cross multiply
    13,517.34x = 18,651.99 × 7,927.26
  4. Step 4: Simplify right side
    13,517.34x = 147,859,174.25
  5. Step 5: Solve for x
    x = 147,859,174.25/13,517.34
  6. Step 6: Final answer
    x = 10,938.48

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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.