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Finding the Fourth Proportional to 13,233.86, 19,825.39 and 8,221.37

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Solution

The fourth proportional to 13,233.86, 19,825.39 and 8,221.37 is: 12,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.86 : 19,825.39 = 8,221.37 : x
  2. Step 2: Convert to fraction form
    13,233.86/19,825.39 = 8,221.37/x
  3. Step 3: Cross multiply
    13,233.86x = 19,825.39 × 8,221.37
  4. Step 4: Simplify right side
    13,233.86x = 162,991,825.48
  5. Step 5: Solve for x
    x = 162,991,825.48/13,233.86
  6. Step 6: Final answer
    x = 12,316.28

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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.