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Finding the Fourth Proportional to 12,720.14, 17,556.14 and 7,942.23

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Solution

The fourth proportional to 12,720.14, 17,556.14 and 7,942.23 is: 10,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.14 : 17,556.14 = 7,942.23 : x
  2. Step 2: Convert to fraction form
    12,720.14/17,556.14 = 7,942.23/x
  3. Step 3: Cross multiply
    12,720.14x = 17,556.14 × 7,942.23
  4. Step 4: Simplify right side
    12,720.14x = 139,434,872.27
  5. Step 5: Solve for x
    x = 139,434,872.27/12,720.14
  6. Step 6: Final answer
    x = 10,961.74

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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.