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Finding the Fourth Proportional to 17,753.46, 24,499.17 and 9,794.94

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Solution

The fourth proportional to 17,753.46, 24,499.17 and 9,794.94 is: 13,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.46 : 24,499.17 = 9,794.94 : x
  2. Step 2: Convert to fraction form
    17,753.46/24,499.17 = 9,794.94/x
  3. Step 3: Cross multiply
    17,753.46x = 24,499.17 × 9,794.94
  4. Step 4: Simplify right side
    17,753.46x = 239,967,900.20
  5. Step 5: Solve for x
    x = 239,967,900.20/17,753.46
  6. Step 6: Final answer
    x = 13,516.68

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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.