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Finding the Fourth Proportional to 22,906.96, 34,367 and 11,223.60

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Solution

The fourth proportional to 22,906.96, 34,367 and 11,223.60 is: 16,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.96 : 34,367 = 11,223.60 : x
  2. Step 2: Convert to fraction form
    22,906.96/34,367 = 11,223.60/x
  3. Step 3: Cross multiply
    22,906.96x = 34,367 × 11,223.60
  4. Step 4: Simplify right side
    22,906.96x = 385,721,461.20
  5. Step 5: Solve for x
    x = 385,721,461.20/22,906.96
  6. Step 6: Final answer
    x = 16,838.61

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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.