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Finding the Fourth Proportional to 12,131.27, 16,741.91 and 7,351.63

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Solution

The fourth proportional to 12,131.27, 16,741.91 and 7,351.63 is: 10,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.27 : 16,741.91 = 7,351.63 : x
  2. Step 2: Convert to fraction form
    12,131.27/16,741.91 = 7,351.63/x
  3. Step 3: Cross multiply
    12,131.27x = 16,741.91 × 7,351.63
  4. Step 4: Simplify right side
    12,131.27x = 123,080,244.10
  5. Step 5: Solve for x
    x = 123,080,244.10/12,131.27
  6. Step 6: Final answer
    x = 10,145.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.