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Finding the Fourth Proportional to 18,786.50, 28,184.07 and 6,474.50

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Solution

The fourth proportional to 18,786.50, 28,184.07 and 6,474.50 is: 9,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786.50 : 28,184.07 = 6,474.50 : x
  2. Step 2: Convert to fraction form
    18,786.50/28,184.07 = 6,474.50/x
  3. Step 3: Cross multiply
    18,786.50x = 28,184.07 × 6,474.50
  4. Step 4: Simplify right side
    18,786.50x = 182,477,761.22
  5. Step 5: Solve for x
    x = 182,477,761.22/18,786.50
  6. Step 6: Final answer
    x = 9,713.24

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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.