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Finding the Fourth Proportional to 23,706.63, 32,714.69 and 13,096.17

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Solution

The fourth proportional to 23,706.63, 32,714.69 and 13,096.17 is: 18,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.63 : 32,714.69 = 13,096.17 : x
  2. Step 2: Convert to fraction form
    23,706.63/32,714.69 = 13,096.17/x
  3. Step 3: Cross multiply
    23,706.63x = 32,714.69 × 13,096.17
  4. Step 4: Simplify right side
    23,706.63x = 428,437,076.26
  5. Step 5: Solve for x
    x = 428,437,076.26/23,706.63
  6. Step 6: Final answer
    x = 18,072.46

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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.