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Finding the Fourth Proportional to 23,227.68, 34,840.98 and 5,697.42

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Solution

The fourth proportional to 23,227.68, 34,840.98 and 5,697.42 is: 8,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.68 : 34,840.98 = 5,697.42 : x
  2. Step 2: Convert to fraction form
    23,227.68/34,840.98 = 5,697.42/x
  3. Step 3: Cross multiply
    23,227.68x = 34,840.98 × 5,697.42
  4. Step 4: Simplify right side
    23,227.68x = 198,503,696.27
  5. Step 5: Solve for x
    x = 198,503,696.27/23,227.68
  6. Step 6: Final answer
    x = 8,546.00

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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.