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Finding the Fourth Proportional to 23,173.44, 31,979.39 and 12,563.12

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Solution

The fourth proportional to 23,173.44, 31,979.39 and 12,563.12 is: 17,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.44 : 31,979.39 = 12,563.12 : x
  2. Step 2: Convert to fraction form
    23,173.44/31,979.39 = 12,563.12/x
  3. Step 3: Cross multiply
    23,173.44x = 31,979.39 × 12,563.12
  4. Step 4: Simplify right side
    23,173.44x = 401,760,691.38
  5. Step 5: Solve for x
    x = 401,760,691.38/23,173.44
  6. Step 6: Final answer
    x = 17,337.12

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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.