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Finding the Fourth Proportional to 18,262.16, 27,396.38 and 5,782

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Solution

The fourth proportional to 18,262.16, 27,396.38 and 5,782 is: 8,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262.16 : 27,396.38 = 5,782 : x
  2. Step 2: Convert to fraction form
    18,262.16/27,396.38 = 5,782/x
  3. Step 3: Cross multiply
    18,262.16x = 27,396.38 × 5,782
  4. Step 4: Simplify right side
    18,262.16x = 158,405,869.16
  5. Step 5: Solve for x
    x = 158,405,869.16/18,262.16
  6. Step 6: Final answer
    x = 8,673.99

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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.