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Finding the Fourth Proportional to 12,131.97, 16,742.08 and 6,826.89

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Solution

The fourth proportional to 12,131.97, 16,742.08 and 6,826.89 is: 9,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.97 : 16,742.08 = 6,826.89 : x
  2. Step 2: Convert to fraction form
    12,131.97/16,742.08 = 6,826.89/x
  3. Step 3: Cross multiply
    12,131.97x = 16,742.08 × 6,826.89
  4. Step 4: Simplify right side
    12,131.97x = 114,296,338.53
  5. Step 5: Solve for x
    x = 114,296,338.53/12,131.97
  6. Step 6: Final answer
    x = 9,421.09

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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.