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Finding the Fourth Proportional to 23,381.31, 32,266.21 and 12,770.97

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Solution

The fourth proportional to 23,381.31, 32,266.21 and 12,770.97 is: 17,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.31 : 32,266.21 = 12,770.97 : x
  2. Step 2: Convert to fraction form
    23,381.31/32,266.21 = 12,770.97/x
  3. Step 3: Cross multiply
    23,381.31x = 32,266.21 × 12,770.97
  4. Step 4: Simplify right side
    23,381.31x = 412,070,799.92
  5. Step 5: Solve for x
    x = 412,070,799.92/23,381.31
  6. Step 6: Final answer
    x = 17,623.94

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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.