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Finding the Fourth Proportional to 24,493.44, 36,711 and 17,057.64

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Solution

The fourth proportional to 24,493.44, 36,711 and 17,057.64 is: 25,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.44 : 36,711 = 17,057.64 : x
  2. Step 2: Convert to fraction form
    24,493.44/36,711 = 17,057.64/x
  3. Step 3: Cross multiply
    24,493.44x = 36,711 × 17,057.64
  4. Step 4: Simplify right side
    24,493.44x = 626,203,022.04
  5. Step 5: Solve for x
    x = 626,203,022.04/24,493.44
  6. Step 6: Final answer
    x = 25,566.15

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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.