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Finding the Fourth Proportional to 23,105.15, 31,885.07 and 12,494.82

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Solution

The fourth proportional to 23,105.15, 31,885.07 and 12,494.82 is: 17,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.15 : 31,885.07 = 12,494.82 : x
  2. Step 2: Convert to fraction form
    23,105.15/31,885.07 = 12,494.82/x
  3. Step 3: Cross multiply
    23,105.15x = 31,885.07 × 12,494.82
  4. Step 4: Simplify right side
    23,105.15x = 398,398,147.86
  5. Step 5: Solve for x
    x = 398,398,147.86/23,105.15
  6. Step 6: Final answer
    x = 17,242.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.