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Finding the Fourth Proportional to 12,833.76, 19,232.21 and 7,556.31

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Solution

The fourth proportional to 12,833.76, 19,232.21 and 7,556.31 is: 11,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.76 : 19,232.21 = 7,556.31 : x
  2. Step 2: Convert to fraction form
    12,833.76/19,232.21 = 7,556.31/x
  3. Step 3: Cross multiply
    12,833.76x = 19,232.21 × 7,556.31
  4. Step 4: Simplify right side
    12,833.76x = 145,324,540.75
  5. Step 5: Solve for x
    x = 145,324,540.75/12,833.76
  6. Step 6: Final answer
    x = 11,323.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.