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Finding the Fourth Proportional to 17,516.89, 24,174.03 and 9,964.55

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Solution

The fourth proportional to 17,516.89, 24,174.03 and 9,964.55 is: 13,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,516.89 : 24,174.03 = 9,964.55 : x
  2. Step 2: Convert to fraction form
    17,516.89/24,174.03 = 9,964.55/x
  3. Step 3: Cross multiply
    17,516.89x = 24,174.03 × 9,964.55
  4. Step 4: Simplify right side
    17,516.89x = 240,883,236.41
  5. Step 5: Solve for x
    x = 240,883,236.41/17,516.89
  6. Step 6: Final answer
    x = 13,751.49

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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.