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Finding the Fourth Proportional to 23,185.90, 31,996.79 and 13,114.45

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Solution

The fourth proportional to 23,185.90, 31,996.79 and 13,114.45 is: 18,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.90 : 31,996.79 = 13,114.45 : x
  2. Step 2: Convert to fraction form
    23,185.90/31,996.79 = 13,114.45/x
  3. Step 3: Cross multiply
    23,185.90x = 31,996.79 × 13,114.45
  4. Step 4: Simplify right side
    23,185.90x = 419,620,302.62
  5. Step 5: Solve for x
    x = 419,620,302.62/23,185.90
  6. Step 6: Final answer
    x = 18,098.08

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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.