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Finding the Fourth Proportional to 17,443.50, 24,079.38 and 11,785.92

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Solution

The fourth proportional to 17,443.50, 24,079.38 and 11,785.92 is: 16,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,443.50 : 24,079.38 = 11,785.92 : x
  2. Step 2: Convert to fraction form
    17,443.50/24,079.38 = 11,785.92/x
  3. Step 3: Cross multiply
    17,443.50x = 24,079.38 × 11,785.92
  4. Step 4: Simplify right side
    17,443.50x = 283,797,646.33
  5. Step 5: Solve for x
    x = 283,797,646.33/17,443.50
  6. Step 6: Final answer
    x = 16,269.54

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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.