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Finding the Fourth Proportional to 23,706.12, 32,714.46 and 13,096.20

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Solution

The fourth proportional to 23,706.12, 32,714.46 and 13,096.20 is: 18,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.12 : 32,714.46 = 13,096.20 : x
  2. Step 2: Convert to fraction form
    23,706.12/32,714.46 = 13,096.20/x
  3. Step 3: Cross multiply
    23,706.12x = 32,714.46 × 13,096.20
  4. Step 4: Simplify right side
    23,706.12x = 428,435,111.05
  5. Step 5: Solve for x
    x = 428,435,111.05/23,706.12
  6. Step 6: Final answer
    x = 18,072.76

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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.