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Finding the Fourth Proportional to 23,706.65, 32,715.16 and 13,096.29

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Solution

The fourth proportional to 23,706.65, 32,715.16 and 13,096.29 is: 18,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.65 : 32,715.16 = 13,096.29 : x
  2. Step 2: Convert to fraction form
    23,706.65/32,715.16 = 13,096.29/x
  3. Step 3: Cross multiply
    23,706.65x = 32,715.16 × 13,096.29
  4. Step 4: Simplify right side
    23,706.65x = 428,447,312.70
  5. Step 5: Solve for x
    x = 428,447,312.70/23,706.65
  6. Step 6: Final answer
    x = 18,072.87

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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.