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Finding the Fourth Proportional to 18,041, 27,062.94 and 5,729

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Solution

The fourth proportional to 18,041, 27,062.94 and 5,729 is: 8,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,041 : 27,062.94 = 5,729 : x
  2. Step 2: Convert to fraction form
    18,041/27,062.94 = 5,729/x
  3. Step 3: Cross multiply
    18,041x = 27,062.94 × 5,729
  4. Step 4: Simplify right side
    18,041x = 155,043,583.26
  5. Step 5: Solve for x
    x = 155,043,583.26/18,041
  6. Step 6: Final answer
    x = 8,593.96

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Why These Related Problems?

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