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Finding the Fourth Proportional to 17,809.72, 24,578.31 and 10,738.42

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Solution

The fourth proportional to 17,809.72, 24,578.31 and 10,738.42 is: 14,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.72 : 24,578.31 = 10,738.42 : x
  2. Step 2: Convert to fraction form
    17,809.72/24,578.31 = 10,738.42/x
  3. Step 3: Cross multiply
    17,809.72x = 24,578.31 × 10,738.42
  4. Step 4: Simplify right side
    17,809.72x = 263,932,215.67
  5. Step 5: Solve for x
    x = 263,932,215.67/17,809.72
  6. Step 6: Final answer
    x = 14,819.56

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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.