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Finding the Fourth Proportional to 18,874.56, 28,311.84 and 5,727

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Solution

The fourth proportional to 18,874.56, 28,311.84 and 5,727 is: 8,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,874.56 : 28,311.84 = 5,727 : x
  2. Step 2: Convert to fraction form
    18,874.56/28,311.84 = 5,727/x
  3. Step 3: Cross multiply
    18,874.56x = 28,311.84 × 5,727
  4. Step 4: Simplify right side
    18,874.56x = 162,141,907.68
  5. Step 5: Solve for x
    x = 162,141,907.68/18,874.56
  6. Step 6: Final answer
    x = 8,590.50

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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.