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Finding the Fourth Proportional to 23,174.90, 31,993.22 and 14,685.83

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Solution

The fourth proportional to 23,174.90, 31,993.22 and 14,685.83 is: 20,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.90 : 31,993.22 = 14,685.83 : x
  2. Step 2: Convert to fraction form
    23,174.90/31,993.22 = 14,685.83/x
  3. Step 3: Cross multiply
    23,174.90x = 31,993.22 × 14,685.83
  4. Step 4: Simplify right side
    23,174.90x = 469,846,990.07
  5. Step 5: Solve for x
    x = 469,846,990.07/23,174.90
  6. Step 6: Final answer
    x = 20,273.96

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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.