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Finding the Fourth Proportional to 18,566.75, 27,853.77 and 8,178.50

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Solution

The fourth proportional to 18,566.75, 27,853.77 and 8,178.50 is: 12,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566.75 : 27,853.77 = 8,178.50 : x
  2. Step 2: Convert to fraction form
    18,566.75/27,853.77 = 8,178.50/x
  3. Step 3: Cross multiply
    18,566.75x = 27,853.77 × 8,178.50
  4. Step 4: Simplify right side
    18,566.75x = 227,802,057.95
  5. Step 5: Solve for x
    x = 227,802,057.95/18,566.75
  6. Step 6: Final answer
    x = 12,269.36

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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.