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Finding the Fourth Proportional to 23,706.10, 32,714.40 and 13,096.18

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Solution

The fourth proportional to 23,706.10, 32,714.40 and 13,096.18 is: 18,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.10 : 32,714.40 = 13,096.18 : x
  2. Step 2: Convert to fraction form
    23,706.10/32,714.40 = 13,096.18/x
  3. Step 3: Cross multiply
    23,706.10x = 32,714.40 × 13,096.18
  4. Step 4: Simplify right side
    23,706.10x = 428,433,670.99
  5. Step 5: Solve for x
    x = 428,433,670.99/23,706.10
  6. Step 6: Final answer
    x = 18,072.72

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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.