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Finding the Fourth Proportional to 17,519.36, 24,177 and 10,449.92

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Solution

The fourth proportional to 17,519.36, 24,177 and 10,449.92 is: 14,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,519.36 : 24,177 = 10,449.92 : x
  2. Step 2: Convert to fraction form
    17,519.36/24,177 = 10,449.92/x
  3. Step 3: Cross multiply
    17,519.36x = 24,177 × 10,449.92
  4. Step 4: Simplify right side
    17,519.36x = 252,647,715.84
  5. Step 5: Solve for x
    x = 252,647,715.84/17,519.36
  6. Step 6: Final answer
    x = 14,421.06

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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.