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Finding the Fourth Proportional to 23,185.97, 31,996.64 and 12,575.68

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Solution

The fourth proportional to 23,185.97, 31,996.64 and 12,575.68 is: 17,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.97 : 31,996.64 = 12,575.68 : x
  2. Step 2: Convert to fraction form
    23,185.97/31,996.64 = 12,575.68/x
  3. Step 3: Cross multiply
    23,185.97x = 31,996.64 × 12,575.68
  4. Step 4: Simplify right side
    23,185.97x = 402,379,362.85
  5. Step 5: Solve for x
    x = 402,379,362.85/23,185.97
  6. Step 6: Final answer
    x = 17,354.43

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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.