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Finding the Fourth Proportional to 23,226.08, 34,843.44 and 7,644.80

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Solution

The fourth proportional to 23,226.08, 34,843.44 and 7,644.80 is: 11,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.08 : 34,843.44 = 7,644.80 : x
  2. Step 2: Convert to fraction form
    23,226.08/34,843.44 = 7,644.80/x
  3. Step 3: Cross multiply
    23,226.08x = 34,843.44 × 7,644.80
  4. Step 4: Simplify right side
    23,226.08x = 266,371,130.11
  5. Step 5: Solve for x
    x = 266,371,130.11/23,226.08
  6. Step 6: Final answer
    x = 11,468.62

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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.