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Finding the Fourth Proportional to 18,521.38, 27,769.71 and 10,205.38

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Solution

The fourth proportional to 18,521.38, 27,769.71 and 10,205.38 is: 15,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,521.38 : 27,769.71 = 10,205.38 : x
  2. Step 2: Convert to fraction form
    18,521.38/27,769.71 = 10,205.38/x
  3. Step 3: Cross multiply
    18,521.38x = 27,769.71 × 10,205.38
  4. Step 4: Simplify right side
    18,521.38x = 283,400,443.04
  5. Step 5: Solve for x
    x = 283,400,443.04/18,521.38
  6. Step 6: Final answer
    x = 15,301.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.