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Finding the Fourth Proportional to 12,794.81, 17,650.58 and 11,023.34

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Solution

The fourth proportional to 12,794.81, 17,650.58 and 11,023.34 is: 15,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.81 : 17,650.58 = 11,023.34 : x
  2. Step 2: Convert to fraction form
    12,794.81/17,650.58 = 11,023.34/x
  3. Step 3: Cross multiply
    12,794.81x = 17,650.58 × 11,023.34
  4. Step 4: Simplify right side
    12,794.81x = 194,568,201.17
  5. Step 5: Solve for x
    x = 194,568,201.17/12,794.81
  6. Step 6: Final answer
    x = 15,206.81

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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.