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Finding the Fourth Proportional to 23,174.46, 31,983.66 and 13,103.46

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Solution

The fourth proportional to 23,174.46, 31,983.66 and 13,103.46 is: 18,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.46 : 31,983.66 = 13,103.46 : x
  2. Step 2: Convert to fraction form
    23,174.46/31,983.66 = 13,103.46/x
  3. Step 3: Cross multiply
    23,174.46x = 31,983.66 × 13,103.46
  4. Step 4: Simplify right side
    23,174.46x = 419,096,609.46
  5. Step 5: Solve for x
    x = 419,096,609.46/23,174.46
  6. Step 6: Final answer
    x = 18,084.42

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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.