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Finding the Fourth Proportional to 15,644.70, 23,446.26 and 5,774.85

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Solution

The fourth proportional to 15,644.70, 23,446.26 and 5,774.85 is: 8,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.70 : 23,446.26 = 5,774.85 : x
  2. Step 2: Convert to fraction form
    15,644.70/23,446.26 = 5,774.85/x
  3. Step 3: Cross multiply
    15,644.70x = 23,446.26 × 5,774.85
  4. Step 4: Simplify right side
    15,644.70x = 135,398,634.56
  5. Step 5: Solve for x
    x = 135,398,634.56/15,644.70
  6. Step 6: Final answer
    x = 8,654.60

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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.