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Finding the Fourth Proportional to 18,367, 27,550.76 and 4,516

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Solution

The fourth proportional to 18,367, 27,550.76 and 4,516 is: 6,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,367 : 27,550.76 = 4,516 : x
  2. Step 2: Convert to fraction form
    18,367/27,550.76 = 4,516/x
  3. Step 3: Cross multiply
    18,367x = 27,550.76 × 4,516
  4. Step 4: Simplify right side
    18,367x = 124,419,232.16
  5. Step 5: Solve for x
    x = 124,419,232.16/18,367
  6. Step 6: Final answer
    x = 6,774.06

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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.