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Finding the Fourth Proportional to 18,046.76, 27,074.73 and 7,513.28

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Solution

The fourth proportional to 18,046.76, 27,074.73 and 7,513.28 is: 11,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046.76 : 27,074.73 = 7,513.28 : x
  2. Step 2: Convert to fraction form
    18,046.76/27,074.73 = 7,513.28/x
  3. Step 3: Cross multiply
    18,046.76x = 27,074.73 × 7,513.28
  4. Step 4: Simplify right side
    18,046.76x = 203,419,892.04
  5. Step 5: Solve for x
    x = 203,419,892.04/18,046.76
  6. Step 6: Final answer
    x = 11,271.83

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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.