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Finding the Fourth Proportional to 23,131.92, 31,922.02 and 12,521.54

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Solution

The fourth proportional to 23,131.92, 31,922.02 and 12,521.54 is: 17,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131.92 : 31,922.02 = 12,521.54 : x
  2. Step 2: Convert to fraction form
    23,131.92/31,922.02 = 12,521.54/x
  3. Step 3: Cross multiply
    23,131.92x = 31,922.02 × 12,521.54
  4. Step 4: Simplify right side
    23,131.92x = 399,712,850.31
  5. Step 5: Solve for x
    x = 399,712,850.31/23,131.92
  6. Step 6: Final answer
    x = 17,279.71

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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.