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Finding the Fourth Proportional to 24,272.94, 36,409.41 and 7,634.43

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Solution

The fourth proportional to 24,272.94, 36,409.41 and 7,634.43 is: 11,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272.94 : 36,409.41 = 7,634.43 : x
  2. Step 2: Convert to fraction form
    24,272.94/36,409.41 = 7,634.43/x
  3. Step 3: Cross multiply
    24,272.94x = 36,409.41 × 7,634.43
  4. Step 4: Simplify right side
    24,272.94x = 277,965,091.99
  5. Step 5: Solve for x
    x = 277,965,091.99/24,272.94
  6. Step 6: Final answer
    x = 11,451.65

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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.