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Finding the Fourth Proportional to 22,025.98, 33,039.69 and 8,184.70

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Solution

The fourth proportional to 22,025.98, 33,039.69 and 8,184.70 is: 12,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,025.98 : 33,039.69 = 8,184.70 : x
  2. Step 2: Convert to fraction form
    22,025.98/33,039.69 = 8,184.70/x
  3. Step 3: Cross multiply
    22,025.98x = 33,039.69 × 8,184.70
  4. Step 4: Simplify right side
    22,025.98x = 270,419,950.74
  5. Step 5: Solve for x
    x = 270,419,950.74/22,025.98
  6. Step 6: Final answer
    x = 12,277.32

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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.