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Finding the Fourth Proportional to 18,142.74, 27,209.97 and 4,996.26

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Solution

The fourth proportional to 18,142.74, 27,209.97 and 4,996.26 is: 7,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.74 : 27,209.97 = 4,996.26 : x
  2. Step 2: Convert to fraction form
    18,142.74/27,209.97 = 4,996.26/x
  3. Step 3: Cross multiply
    18,142.74x = 27,209.97 × 4,996.26
  4. Step 4: Simplify right side
    18,142.74x = 135,948,084.71
  5. Step 5: Solve for x
    x = 135,948,084.71/18,142.74
  6. Step 6: Final answer
    x = 7,493.25

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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.