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Finding the Fourth Proportional to 12,131.93, 16,741.73 and 6,826.43

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Solution

The fourth proportional to 12,131.93, 16,741.73 and 6,826.43 is: 9,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.93 : 16,741.73 = 6,826.43 : x
  2. Step 2: Convert to fraction form
    12,131.93/16,741.73 = 6,826.43/x
  3. Step 3: Cross multiply
    12,131.93x = 16,741.73 × 6,826.43
  4. Step 4: Simplify right side
    12,131.93x = 114,286,247.92
  5. Step 5: Solve for x
    x = 114,286,247.92/12,131.93
  6. Step 6: Final answer
    x = 9,420.29

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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.