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Finding the Fourth Proportional to 18,564, 27,847.62 and 4,713

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Solution

The fourth proportional to 18,564, 27,847.62 and 4,713 is: 7,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564 : 27,847.62 = 4,713 : x
  2. Step 2: Convert to fraction form
    18,564/27,847.62 = 4,713/x
  3. Step 3: Cross multiply
    18,564x = 27,847.62 × 4,713
  4. Step 4: Simplify right side
    18,564x = 131,245,833.06
  5. Step 5: Solve for x
    x = 131,245,833.06/18,564
  6. Step 6: Final answer
    x = 7,069.91

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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.