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Finding the Fourth Proportional to 23,706.40, 32,714.64 and 13,096.72

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Solution

The fourth proportional to 23,706.40, 32,714.64 and 13,096.72 is: 18,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.40 : 32,714.64 = 13,096.72 : x
  2. Step 2: Convert to fraction form
    23,706.40/32,714.64 = 13,096.72/x
  3. Step 3: Cross multiply
    23,706.40x = 32,714.64 × 13,096.72
  4. Step 4: Simplify right side
    23,706.40x = 428,454,479.98
  5. Step 5: Solve for x
    x = 428,454,479.98/23,706.40
  6. Step 6: Final answer
    x = 18,073.37

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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.