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Finding the Fourth Proportional to 16,964.86, 23,410.28 and 9,794.74

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Solution

The fourth proportional to 16,964.86, 23,410.28 and 9,794.74 is: 13,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.86 : 23,410.28 = 9,794.74 : x
  2. Step 2: Convert to fraction form
    16,964.86/23,410.28 = 9,794.74/x
  3. Step 3: Cross multiply
    16,964.86x = 23,410.28 × 9,794.74
  4. Step 4: Simplify right side
    16,964.86x = 229,297,605.93
  5. Step 5: Solve for x
    x = 229,297,605.93/16,964.86
  6. Step 6: Final answer
    x = 13,516.03

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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.