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Finding the Fourth Proportional to 23,706.34, 32,714.94 and 13,096.16

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Solution

The fourth proportional to 23,706.34, 32,714.94 and 13,096.16 is: 18,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.34 : 32,714.94 = 13,096.16 : x
  2. Step 2: Convert to fraction form
    23,706.34/32,714.94 = 13,096.16/x
  3. Step 3: Cross multiply
    23,706.34x = 32,714.94 × 13,096.16
  4. Step 4: Simplify right side
    23,706.34x = 428,440,088.63
  5. Step 5: Solve for x
    x = 428,440,088.63/23,706.34
  6. Step 6: Final answer
    x = 18,072.81

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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.