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Finding the Fourth Proportional to 18,214.92, 25,138.49 and 11,146.05

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Solution

The fourth proportional to 18,214.92, 25,138.49 and 11,146.05 is: 15,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.92 : 25,138.49 = 11,146.05 : x
  2. Step 2: Convert to fraction form
    18,214.92/25,138.49 = 11,146.05/x
  3. Step 3: Cross multiply
    18,214.92x = 25,138.49 × 11,146.05
  4. Step 4: Simplify right side
    18,214.92x = 280,194,810.73
  5. Step 5: Solve for x
    x = 280,194,810.73/18,214.92
  6. Step 6: Final answer
    x = 15,382.71

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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.