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Finding the Fourth Proportional to 23,706.29, 32,715.16 and 13,096.31

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Solution

The fourth proportional to 23,706.29, 32,715.16 and 13,096.31 is: 18,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.29 : 32,715.16 = 13,096.31 : x
  2. Step 2: Convert to fraction form
    23,706.29/32,715.16 = 13,096.31/x
  3. Step 3: Cross multiply
    23,706.29x = 32,715.16 × 13,096.31
  4. Step 4: Simplify right side
    23,706.29x = 428,447,680.74
  5. Step 5: Solve for x
    x = 428,447,680.74/23,706.29
  6. Step 6: Final answer
    x = 18,073.16

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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.