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Finding the Fourth Proportional to 23,096.46, 31,873.02 and 12,486.09

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Solution

The fourth proportional to 23,096.46, 31,873.02 and 12,486.09 is: 17,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.46 : 31,873.02 = 12,486.09 : x
  2. Step 2: Convert to fraction form
    23,096.46/31,873.02 = 12,486.09/x
  3. Step 3: Cross multiply
    23,096.46x = 31,873.02 × 12,486.09
  4. Step 4: Simplify right side
    23,096.46x = 397,969,396.29
  5. Step 5: Solve for x
    x = 397,969,396.29/23,096.46
  6. Step 6: Final answer
    x = 17,230.75

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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.