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Finding the Fourth Proportional to 22,272.57, 30,734.83 and 12,199

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Solution

The fourth proportional to 22,272.57, 30,734.83 and 12,199 is: 16,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.57 : 30,734.83 = 12,199 : x
  2. Step 2: Convert to fraction form
    22,272.57/30,734.83 = 12,199/x
  3. Step 3: Cross multiply
    22,272.57x = 30,734.83 × 12,199
  4. Step 4: Simplify right side
    22,272.57x = 374,934,191.17
  5. Step 5: Solve for x
    x = 374,934,191.17/22,272.57
  6. Step 6: Final answer
    x = 16,833.90

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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.