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Finding the Fourth Proportional to 22,915.20, 34,361.46 and 7,330.80

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Solution

The fourth proportional to 22,915.20, 34,361.46 and 7,330.80 is: 10,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.20 : 34,361.46 = 7,330.80 : x
  2. Step 2: Convert to fraction form
    22,915.20/34,361.46 = 7,330.80/x
  3. Step 3: Cross multiply
    22,915.20x = 34,361.46 × 7,330.80
  4. Step 4: Simplify right side
    22,915.20x = 251,896,990.97
  5. Step 5: Solve for x
    x = 251,896,990.97/22,915.20
  6. Step 6: Final answer
    x = 10,992.57

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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.