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Finding the Fourth Proportional to 23,706.96, 32,714.66 and 13,096.34

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Solution

The fourth proportional to 23,706.96, 32,714.66 and 13,096.34 is: 18,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.96 : 32,714.66 = 13,096.34 : x
  2. Step 2: Convert to fraction form
    23,706.96/32,714.66 = 13,096.34/x
  3. Step 3: Cross multiply
    23,706.96x = 32,714.66 × 13,096.34
  4. Step 4: Simplify right side
    23,706.96x = 428,442,310.34
  5. Step 5: Solve for x
    x = 428,442,310.34/23,706.96
  6. Step 6: Final answer
    x = 18,072.43

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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.