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Finding the Fourth Proportional to 13,561.94, 20,286.74 and 12,732.50

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Solution

The fourth proportional to 13,561.94, 20,286.74 and 12,732.50 is: 19,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.94 : 20,286.74 = 12,732.50 : x
  2. Step 2: Convert to fraction form
    13,561.94/20,286.74 = 12,732.50/x
  3. Step 3: Cross multiply
    13,561.94x = 20,286.74 × 12,732.50
  4. Step 4: Simplify right side
    13,561.94x = 258,300,917.05
  5. Step 5: Solve for x
    x = 258,300,917.05/13,561.94
  6. Step 6: Final answer
    x = 19,046.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.