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Finding the Fourth Proportional to 24,198, 36,305.64 and 11,894.64

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Solution

The fourth proportional to 24,198, 36,305.64 and 11,894.64 is: 17,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 36,305.64 = 11,894.64 : x
  2. Step 2: Convert to fraction form
    24,198/36,305.64 = 11,894.64/x
  3. Step 3: Cross multiply
    24,198x = 36,305.64 × 11,894.64
  4. Step 4: Simplify right side
    24,198x = 431,842,517.77
  5. Step 5: Solve for x
    x = 431,842,517.77/24,198
  6. Step 6: Final answer
    x = 17,846.21

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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.