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Finding the Fourth Proportional to 13,853.43, 20,785.01 and 7,186.73

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Solution

The fourth proportional to 13,853.43, 20,785.01 and 7,186.73 is: 10,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.43 : 20,785.01 = 7,186.73 : x
  2. Step 2: Convert to fraction form
    13,853.43/20,785.01 = 7,186.73/x
  3. Step 3: Cross multiply
    13,853.43x = 20,785.01 × 7,186.73
  4. Step 4: Simplify right side
    13,853.43x = 149,376,115.06
  5. Step 5: Solve for x
    x = 149,376,115.06/13,853.43
  6. Step 6: Final answer
    x = 10,782.61

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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.