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Finding the Fourth Proportional to 23,185.65, 31,996.44 and 13,114.20

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Solution

The fourth proportional to 23,185.65, 31,996.44 and 13,114.20 is: 18,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.65 : 31,996.44 = 13,114.20 : x
  2. Step 2: Convert to fraction form
    23,185.65/31,996.44 = 13,114.20/x
  3. Step 3: Cross multiply
    23,185.65x = 31,996.44 × 13,114.20
  4. Step 4: Simplify right side
    23,185.65x = 419,607,713.45
  5. Step 5: Solve for x
    x = 419,607,713.45/23,185.65
  6. Step 6: Final answer
    x = 18,097.73

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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.