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Finding the Fourth Proportional to 13,743.88, 20,611.73 and 7,166.48

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Solution

The fourth proportional to 13,743.88, 20,611.73 and 7,166.48 is: 10,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.88 : 20,611.73 = 7,166.48 : x
  2. Step 2: Convert to fraction form
    13,743.88/20,611.73 = 7,166.48/x
  3. Step 3: Cross multiply
    13,743.88x = 20,611.73 × 7,166.48
  4. Step 4: Simplify right side
    13,743.88x = 147,713,465.67
  5. Step 5: Solve for x
    x = 147,713,465.67/13,743.88
  6. Step 6: Final answer
    x = 10,747.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.