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Finding the Fourth Proportional to 18,366.49, 27,550.04 and 7,978.24

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Solution

The fourth proportional to 18,366.49, 27,550.04 and 7,978.24 is: 11,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,366.49 : 27,550.04 = 7,978.24 : x
  2. Step 2: Convert to fraction form
    18,366.49/27,550.04 = 7,978.24/x
  3. Step 3: Cross multiply
    18,366.49x = 27,550.04 × 7,978.24
  4. Step 4: Simplify right side
    18,366.49x = 219,800,919.95
  5. Step 5: Solve for x
    x = 219,800,919.95/18,366.49
  6. Step 6: Final answer
    x = 11,967.50

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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.