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Finding the Fourth Proportional to 21,738.96, 32,613.74 and 6,745.71

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Solution

The fourth proportional to 21,738.96, 32,613.74 and 6,745.71 is: 10,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.96 : 32,613.74 = 6,745.71 : x
  2. Step 2: Convert to fraction form
    21,738.96/32,613.74 = 6,745.71/x
  3. Step 3: Cross multiply
    21,738.96x = 32,613.74 × 6,745.71
  4. Step 4: Simplify right side
    21,738.96x = 220,002,798.33
  5. Step 5: Solve for x
    x = 220,002,798.33/21,738.96
  6. Step 6: Final answer
    x = 10,120.21

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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.