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Finding the Fourth Proportional to 18,366, 25,350.84 and 11,742

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Solution

The fourth proportional to 18,366, 25,350.84 and 11,742 is: 16,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,366 : 25,350.84 = 11,742 : x
  2. Step 2: Convert to fraction form
    18,366/25,350.84 = 11,742/x
  3. Step 3: Cross multiply
    18,366x = 25,350.84 × 11,742
  4. Step 4: Simplify right side
    18,366x = 297,669,563.28
  5. Step 5: Solve for x
    x = 297,669,563.28/18,366
  6. Step 6: Final answer
    x = 16,207.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.