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Finding the Fourth Proportional to 15,633.72, 23,446.26 and 6,866.46

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Solution

The fourth proportional to 15,633.72, 23,446.26 and 6,866.46 is: 10,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.72 : 23,446.26 = 6,866.46 : x
  2. Step 2: Convert to fraction form
    15,633.72/23,446.26 = 6,866.46/x
  3. Step 3: Cross multiply
    15,633.72x = 23,446.26 × 6,866.46
  4. Step 4: Simplify right side
    15,633.72x = 160,992,806.44
  5. Step 5: Solve for x
    x = 160,992,806.44/15,633.72
  6. Step 6: Final answer
    x = 10,297.79

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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.