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Finding the Fourth Proportional to 23,706.57, 32,715.09 and 13,096.28

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Solution

The fourth proportional to 23,706.57, 32,715.09 and 13,096.28 is: 18,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.57 : 32,715.09 = 13,096.28 : x
  2. Step 2: Convert to fraction form
    23,706.57/32,715.09 = 13,096.28/x
  3. Step 3: Cross multiply
    23,706.57x = 32,715.09 × 13,096.28
  4. Step 4: Simplify right side
    23,706.57x = 428,446,060.65
  5. Step 5: Solve for x
    x = 428,446,060.65/23,706.57
  6. Step 6: Final answer
    x = 18,072.88

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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.