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Finding the Fourth Proportional to 12,556.96, 17,336.64 and 8,082.64

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Solution

The fourth proportional to 12,556.96, 17,336.64 and 8,082.64 is: 11,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.96 : 17,336.64 = 8,082.64 : x
  2. Step 2: Convert to fraction form
    12,556.96/17,336.64 = 8,082.64/x
  3. Step 3: Cross multiply
    12,556.96x = 17,336.64 × 8,082.64
  4. Step 4: Simplify right side
    12,556.96x = 140,125,819.93
  5. Step 5: Solve for x
    x = 140,125,819.93/12,556.96
  6. Step 6: Final answer
    x = 11,159.22

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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.