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Finding the Fourth Proportional to 23,054.37, 31,812.37 and 12,982.56

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Solution

The fourth proportional to 23,054.37, 31,812.37 and 12,982.56 is: 17,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.37 : 31,812.37 = 12,982.56 : x
  2. Step 2: Convert to fraction form
    23,054.37/31,812.37 = 12,982.56/x
  3. Step 3: Cross multiply
    23,054.37x = 31,812.37 × 12,982.56
  4. Step 4: Simplify right side
    23,054.37x = 413,006,002.27
  5. Step 5: Solve for x
    x = 413,006,002.27/23,054.37
  6. Step 6: Final answer
    x = 17,914.43

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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.