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Finding the Fourth Proportional to 17,764.38, 24,512.15 and 11,804.81

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Solution

The fourth proportional to 17,764.38, 24,512.15 and 11,804.81 is: 16,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.38 : 24,512.15 = 11,804.81 : x
  2. Step 2: Convert to fraction form
    17,764.38/24,512.15 = 11,804.81/x
  3. Step 3: Cross multiply
    17,764.38x = 24,512.15 × 11,804.81
  4. Step 4: Simplify right side
    17,764.38x = 289,361,180.39
  5. Step 5: Solve for x
    x = 289,361,180.39/17,764.38
  6. Step 6: Final answer
    x = 16,288.84

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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.