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Finding the Fourth Proportional to 22,135.24, 30,546.18 and 12,199.24

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Solution

The fourth proportional to 22,135.24, 30,546.18 and 12,199.24 is: 16,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.24 : 30,546.18 = 12,199.24 : x
  2. Step 2: Convert to fraction form
    22,135.24/30,546.18 = 12,199.24/x
  3. Step 3: Cross multiply
    22,135.24x = 30,546.18 × 12,199.24
  4. Step 4: Simplify right side
    22,135.24x = 372,640,180.90
  5. Step 5: Solve for x
    x = 372,640,180.90/22,135.24
  6. Step 6: Final answer
    x = 16,834.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.