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Finding the Fourth Proportional to 18,564, 27,846.96 and 6,082.96

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Solution

The fourth proportional to 18,564, 27,846.96 and 6,082.96 is: 9,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564 : 27,846.96 = 6,082.96 : x
  2. Step 2: Convert to fraction form
    18,564/27,846.96 = 6,082.96/x
  3. Step 3: Cross multiply
    18,564x = 27,846.96 × 6,082.96
  4. Step 4: Simplify right side
    18,564x = 169,391,943.80
  5. Step 5: Solve for x
    x = 169,391,943.80/18,564
  6. Step 6: Final answer
    x = 9,124.75

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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.