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Finding the Fourth Proportional to 22,074.58, 33,091.84 and 8,024.68

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Solution

The fourth proportional to 22,074.58, 33,091.84 and 8,024.68 is: 12,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.58 : 33,091.84 = 8,024.68 : x
  2. Step 2: Convert to fraction form
    22,074.58/33,091.84 = 8,024.68/x
  3. Step 3: Cross multiply
    22,074.58x = 33,091.84 × 8,024.68
  4. Step 4: Simplify right side
    22,074.58x = 265,551,507.62
  5. Step 5: Solve for x
    x = 265,551,507.62/22,074.58
  6. Step 6: Final answer
    x = 12,029.74

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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.