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Finding the Fourth Proportional to 13,468.88, 20,186.43 and 7,213.38

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Solution

The fourth proportional to 13,468.88, 20,186.43 and 7,213.38 is: 10,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.88 : 20,186.43 = 7,213.38 : x
  2. Step 2: Convert to fraction form
    13,468.88/20,186.43 = 7,213.38/x
  3. Step 3: Cross multiply
    13,468.88x = 20,186.43 × 7,213.38
  4. Step 4: Simplify right side
    13,468.88x = 145,612,390.43
  5. Step 5: Solve for x
    x = 145,612,390.43/13,468.88
  6. Step 6: Final answer
    x = 10,811.03

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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.