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Finding the Fourth Proportional to 17,854.41, 26,785.37 and 6,760.86

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Solution

The fourth proportional to 17,854.41, 26,785.37 and 6,760.86 is: 10,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.41 : 26,785.37 = 6,760.86 : x
  2. Step 2: Convert to fraction form
    17,854.41/26,785.37 = 6,760.86/x
  3. Step 3: Cross multiply
    17,854.41x = 26,785.37 × 6,760.86
  4. Step 4: Simplify right side
    17,854.41x = 181,092,136.62
  5. Step 5: Solve for x
    x = 181,092,136.62/17,854.41
  6. Step 6: Final answer
    x = 10,142.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.