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Finding the Fourth Proportional to 13,857, 20,785.68 and 4,623

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Solution

The fourth proportional to 13,857, 20,785.68 and 4,623 is: 6,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 20,785.68 = 4,623 : x
  2. Step 2: Convert to fraction form
    13,857/20,785.68 = 4,623/x
  3. Step 3: Cross multiply
    13,857x = 20,785.68 × 4,623
  4. Step 4: Simplify right side
    13,857x = 96,092,198.64
  5. Step 5: Solve for x
    x = 96,092,198.64/13,857
  6. Step 6: Final answer
    x = 6,934.56

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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.