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Finding the Fourth Proportional to 18,262.39, 27,383.02 and 7,156.07

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Solution

The fourth proportional to 18,262.39, 27,383.02 and 7,156.07 is: 10,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262.39 : 27,383.02 = 7,156.07 : x
  2. Step 2: Convert to fraction form
    18,262.39/27,383.02 = 7,156.07/x
  3. Step 3: Cross multiply
    18,262.39x = 27,383.02 × 7,156.07
  4. Step 4: Simplify right side
    18,262.39x = 195,954,858.50
  5. Step 5: Solve for x
    x = 195,954,858.50/18,262.39
  6. Step 6: Final answer
    x = 10,729.97

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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.