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Finding the Fourth Proportional to 23,105.25, 34,658.89 and 7,522.88

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Solution

The fourth proportional to 23,105.25, 34,658.89 and 7,522.88 is: 11,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.25 : 34,658.89 = 7,522.88 : x
  2. Step 2: Convert to fraction form
    23,105.25/34,658.89 = 7,522.88/x
  3. Step 3: Cross multiply
    23,105.25x = 34,658.89 × 7,522.88
  4. Step 4: Simplify right side
    23,105.25x = 260,734,478.30
  5. Step 5: Solve for x
    x = 260,734,478.30/23,105.25
  6. Step 6: Final answer
    x = 11,284.64

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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.