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Finding the Fourth Proportional to 12,546.79, 17,182.76 and 12,382.77

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Solution

The fourth proportional to 12,546.79, 17,182.76 and 12,382.77 is: 16,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.79 : 17,182.76 = 12,382.77 : x
  2. Step 2: Convert to fraction form
    12,546.79/17,182.76 = 12,382.77/x
  3. Step 3: Cross multiply
    12,546.79x = 17,182.76 × 12,382.77
  4. Step 4: Simplify right side
    12,546.79x = 212,770,165.05
  5. Step 5: Solve for x
    x = 212,770,165.05/12,546.79
  6. Step 6: Final answer
    x = 16,958.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.