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Finding the Fourth Proportional to 23,067.44, 31,832.92 and 12,999.11

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Solution

The fourth proportional to 23,067.44, 31,832.92 and 12,999.11 is: 17,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,067.44 : 31,832.92 = 12,999.11 : x
  2. Step 2: Convert to fraction form
    23,067.44/31,832.92 = 12,999.11/x
  3. Step 3: Cross multiply
    23,067.44x = 31,832.92 × 12,999.11
  4. Step 4: Simplify right side
    23,067.44x = 413,799,700.16
  5. Step 5: Solve for x
    x = 413,799,700.16/23,067.44
  6. Step 6: Final answer
    x = 17,938.69

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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.