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Finding the Fourth Proportional to 24,714.87, 37,096.91 and 13,626.78

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Solution

The fourth proportional to 24,714.87, 37,096.91 and 13,626.78 is: 20,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.87 : 37,096.91 = 13,626.78 : x
  2. Step 2: Convert to fraction form
    24,714.87/37,096.91 = 13,626.78/x
  3. Step 3: Cross multiply
    24,714.87x = 37,096.91 × 13,626.78
  4. Step 4: Simplify right side
    24,714.87x = 505,511,522.10
  5. Step 5: Solve for x
    x = 505,511,522.10/24,714.87
  6. Step 6: Final answer
    x = 20,453.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.