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Finding the Fourth Proportional to 23,149.38, 31,945.92 and 12,538.38

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Solution

The fourth proportional to 23,149.38, 31,945.92 and 12,538.38 is: 17,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149.38 : 31,945.92 = 12,538.38 : x
  2. Step 2: Convert to fraction form
    23,149.38/31,945.92 = 12,538.38/x
  3. Step 3: Cross multiply
    23,149.38x = 31,945.92 × 12,538.38
  4. Step 4: Simplify right side
    23,149.38x = 400,550,084.41
  5. Step 5: Solve for x
    x = 400,550,084.41/23,149.38
  6. Step 6: Final answer
    x = 17,302.84

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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.