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Finding the Fourth Proportional to 21,454.74, 32,183.00 and 8,126.43

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Solution

The fourth proportional to 21,454.74, 32,183.00 and 8,126.43 is: 12,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.74 : 32,183.00 = 8,126.43 : x
  2. Step 2: Convert to fraction form
    21,454.74/32,183.00 = 8,126.43/x
  3. Step 3: Cross multiply
    21,454.74x = 32,183.00 × 8,126.43
  4. Step 4: Simplify right side
    21,454.74x = 261,532,856.06
  5. Step 5: Solve for x
    x = 261,532,856.06/21,454.74
  6. Step 6: Final answer
    x = 12,189.98

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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.