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Finding the Fourth Proportional to 18,297.01, 27,447.14 and 5,149.50

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Solution

The fourth proportional to 18,297.01, 27,447.14 and 5,149.50 is: 7,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,297.01 : 27,447.14 = 5,149.50 : x
  2. Step 2: Convert to fraction form
    18,297.01/27,447.14 = 5,149.50/x
  3. Step 3: Cross multiply
    18,297.01x = 27,447.14 × 5,149.50
  4. Step 4: Simplify right side
    18,297.01x = 141,338,884.45
  5. Step 5: Solve for x
    x = 141,338,884.45/18,297.01
  6. Step 6: Final answer
    x = 7,724.70

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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.