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Finding the Fourth Proportional to 23,104.92, 31,884.79 and 12,494.55

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Solution

The fourth proportional to 23,104.92, 31,884.79 and 12,494.55 is: 17,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.92 : 31,884.79 = 12,494.55 : x
  2. Step 2: Convert to fraction form
    23,104.92/31,884.79 = 12,494.55/x
  3. Step 3: Cross multiply
    23,104.92x = 31,884.79 × 12,494.55
  4. Step 4: Simplify right side
    23,104.92x = 398,386,040.42
  5. Step 5: Solve for x
    x = 398,386,040.42/23,104.92
  6. Step 6: Final answer
    x = 17,242.48

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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.