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Finding the Fourth Proportional to 22,409.68, 33,610.20 and 6,825.28

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Solution

The fourth proportional to 22,409.68, 33,610.20 and 6,825.28 is: 10,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.68 : 33,610.20 = 6,825.28 : x
  2. Step 2: Convert to fraction form
    22,409.68/33,610.20 = 6,825.28/x
  3. Step 3: Cross multiply
    22,409.68x = 33,610.20 × 6,825.28
  4. Step 4: Simplify right side
    22,409.68x = 229,399,025.86
  5. Step 5: Solve for x
    x = 229,399,025.86/22,409.68
  6. Step 6: Final answer
    x = 10,236.60

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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.