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Finding the Fourth Proportional to 18,346.02, 27,523.65 and 5,198.50

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Solution

The fourth proportional to 18,346.02, 27,523.65 and 5,198.50 is: 7,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,346.02 : 27,523.65 = 5,198.50 : x
  2. Step 2: Convert to fraction form
    18,346.02/27,523.65 = 5,198.50/x
  3. Step 3: Cross multiply
    18,346.02x = 27,523.65 × 5,198.50
  4. Step 4: Simplify right side
    18,346.02x = 143,081,694.53
  5. Step 5: Solve for x
    x = 143,081,694.53/18,346.02
  6. Step 6: Final answer
    x = 7,799.06

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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.