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Finding the Fourth Proportional to 12,131.73, 16,741.85 and 6,826.64

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Solution

The fourth proportional to 12,131.73, 16,741.85 and 6,826.64 is: 9,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.73 : 16,741.85 = 6,826.64 : x
  2. Step 2: Convert to fraction form
    12,131.73/16,741.85 = 6,826.64/x
  3. Step 3: Cross multiply
    12,131.73x = 16,741.85 × 6,826.64
  4. Step 4: Simplify right side
    12,131.73x = 114,290,465.04
  5. Step 5: Solve for x
    x = 114,290,465.04/12,131.73
  6. Step 6: Final answer
    x = 9,420.79

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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.