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Finding the Fourth Proportional to 23,102.89, 34,658.61 and 7,311.89

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Solution

The fourth proportional to 23,102.89, 34,658.61 and 7,311.89 is: 10,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.89 : 34,658.61 = 7,311.89 : x
  2. Step 2: Convert to fraction form
    23,102.89/34,658.61 = 7,311.89/x
  3. Step 3: Cross multiply
    23,102.89x = 34,658.61 × 7,311.89
  4. Step 4: Simplify right side
    23,102.89x = 253,419,943.87
  5. Step 5: Solve for x
    x = 253,419,943.87/23,102.89
  6. Step 6: Final answer
    x = 10,969.19

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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.