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Finding the Fourth Proportional to 18,406.82, 27,614.00 and 5,923.10

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Solution

The fourth proportional to 18,406.82, 27,614.00 and 5,923.10 is: 8,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.82 : 27,614.00 = 5,923.10 : x
  2. Step 2: Convert to fraction form
    18,406.82/27,614.00 = 5,923.10/x
  3. Step 3: Cross multiply
    18,406.82x = 27,614.00 × 5,923.10
  4. Step 4: Simplify right side
    18,406.82x = 163,560,360.14
  5. Step 5: Solve for x
    x = 163,560,360.14/18,406.82
  6. Step 6: Final answer
    x = 8,885.86

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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.