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Finding the Fourth Proportional to 21,334.58, 32,002.05 and 8,183.82

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Solution

The fourth proportional to 21,334.58, 32,002.05 and 8,183.82 is: 12,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.58 : 32,002.05 = 8,183.82 : x
  2. Step 2: Convert to fraction form
    21,334.58/32,002.05 = 8,183.82/x
  3. Step 3: Cross multiply
    21,334.58x = 32,002.05 × 8,183.82
  4. Step 4: Simplify right side
    21,334.58x = 261,899,016.83
  5. Step 5: Solve for x
    x = 261,899,016.83/21,334.58
  6. Step 6: Final answer
    x = 12,275.80

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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.