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Finding the Fourth Proportional to 18,992.16, 26,202.24 and 11,916

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Solution

The fourth proportional to 18,992.16, 26,202.24 and 11,916 is: 16,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,992.16 : 26,202.24 = 11,916 : x
  2. Step 2: Convert to fraction form
    18,992.16/26,202.24 = 11,916/x
  3. Step 3: Cross multiply
    18,992.16x = 26,202.24 × 11,916
  4. Step 4: Simplify right side
    18,992.16x = 312,225,891.84
  5. Step 5: Solve for x
    x = 312,225,891.84/18,992.16
  6. Step 6: Final answer
    x = 16,439.73

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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.