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Finding the Fourth Proportional to 23,181.63, 31,990.64 and 12,571.27

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Solution

The fourth proportional to 23,181.63, 31,990.64 and 12,571.27 is: 17,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.63 : 31,990.64 = 12,571.27 : x
  2. Step 2: Convert to fraction form
    23,181.63/31,990.64 = 12,571.27/x
  3. Step 3: Cross multiply
    23,181.63x = 31,990.64 × 12,571.27
  4. Step 4: Simplify right side
    23,181.63x = 402,162,972.91
  5. Step 5: Solve for x
    x = 402,162,972.91/23,181.63
  6. Step 6: Final answer
    x = 17,348.35

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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.