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Finding the Fourth Proportional to 17,651.64, 24,357.60 and 10,096.44

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Solution

The fourth proportional to 17,651.64, 24,357.60 and 10,096.44 is: 13,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.64 : 24,357.60 = 10,096.44 : x
  2. Step 2: Convert to fraction form
    17,651.64/24,357.60 = 10,096.44/x
  3. Step 3: Cross multiply
    17,651.64x = 24,357.60 × 10,096.44
  4. Step 4: Simplify right side
    17,651.64x = 245,925,046.94
  5. Step 5: Solve for x
    x = 245,925,046.94/17,651.64
  6. Step 6: Final answer
    x = 13,932.14

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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.