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Finding the Fourth Proportional to 22,074.57, 33,126.74 and 8,223.57

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Solution

The fourth proportional to 22,074.57, 33,126.74 and 8,223.57 is: 12,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.57 : 33,126.74 = 8,223.57 : x
  2. Step 2: Convert to fraction form
    22,074.57/33,126.74 = 8,223.57/x
  3. Step 3: Cross multiply
    22,074.57x = 33,126.74 × 8,223.57
  4. Step 4: Simplify right side
    22,074.57x = 272,420,024.14
  5. Step 5: Solve for x
    x = 272,420,024.14/22,074.57
  6. Step 6: Final answer
    x = 12,340.90

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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.