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Finding the Fourth Proportional to 22,049.68, 33,074.61 and 5,409.82

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Solution

The fourth proportional to 22,049.68, 33,074.61 and 5,409.82 is: 8,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.68 : 33,074.61 = 5,409.82 : x
  2. Step 2: Convert to fraction form
    22,049.68/33,074.61 = 5,409.82/x
  3. Step 3: Cross multiply
    22,049.68x = 33,074.61 × 5,409.82
  4. Step 4: Simplify right side
    22,049.68x = 178,927,686.67
  5. Step 5: Solve for x
    x = 178,927,686.67/22,049.68
  6. Step 6: Final answer
    x = 8,114.75

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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.