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Finding the Fourth Proportional to 23,512.70, 32,447.43 and 12,902.31

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Solution

The fourth proportional to 23,512.70, 32,447.43 and 12,902.31 is: 17,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.70 : 32,447.43 = 12,902.31 : x
  2. Step 2: Convert to fraction form
    23,512.70/32,447.43 = 12,902.31/x
  3. Step 3: Cross multiply
    23,512.70x = 32,447.43 × 12,902.31
  4. Step 4: Simplify right side
    23,512.70x = 418,646,800.56
  5. Step 5: Solve for x
    x = 418,646,800.56/23,512.70
  6. Step 6: Final answer
    x = 17,805.14

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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.