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Finding the Fourth Proportional to 18,199.13, 27,282.44 and 7,103.22

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Solution

The fourth proportional to 18,199.13, 27,282.44 and 7,103.22 is: 10,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199.13 : 27,282.44 = 7,103.22 : x
  2. Step 2: Convert to fraction form
    18,199.13/27,282.44 = 7,103.22/x
  3. Step 3: Cross multiply
    18,199.13x = 27,282.44 × 7,103.22
  4. Step 4: Simplify right side
    18,199.13x = 193,793,137.94
  5. Step 5: Solve for x
    x = 193,793,137.94/18,199.13
  6. Step 6: Final answer
    x = 10,648.49

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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.