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Finding the Fourth Proportional to 16,930.56, 23,364.24 and 9,861.84

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Solution

The fourth proportional to 16,930.56, 23,364.24 and 9,861.84 is: 13,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930.56 : 23,364.24 = 9,861.84 : x
  2. Step 2: Convert to fraction form
    16,930.56/23,364.24 = 9,861.84/x
  3. Step 3: Cross multiply
    16,930.56x = 23,364.24 × 9,861.84
  4. Step 4: Simplify right side
    16,930.56x = 230,414,396.60
  5. Step 5: Solve for x
    x = 230,414,396.60/16,930.56
  6. Step 6: Final answer
    x = 13,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.