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Finding the Fourth Proportional to 18,648.62, 27,968.87 and 6,165.69

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Solution

The fourth proportional to 18,648.62, 27,968.87 and 6,165.69 is: 9,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.62 : 27,968.87 = 6,165.69 : x
  2. Step 2: Convert to fraction form
    18,648.62/27,968.87 = 6,165.69/x
  3. Step 3: Cross multiply
    18,648.62x = 27,968.87 × 6,165.69
  4. Step 4: Simplify right side
    18,648.62x = 172,447,351.24
  5. Step 5: Solve for x
    x = 172,447,351.24/18,648.62
  6. Step 6: Final answer
    x = 9,247.19

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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.