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Finding the Fourth Proportional to 22,096.21, 30,492.82 and 12,024.64

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Solution

The fourth proportional to 22,096.21, 30,492.82 and 12,024.64 is: 16,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.21 : 30,492.82 = 12,024.64 : x
  2. Step 2: Convert to fraction form
    22,096.21/30,492.82 = 12,024.64/x
  3. Step 3: Cross multiply
    22,096.21x = 30,492.82 × 12,024.64
  4. Step 4: Simplify right side
    22,096.21x = 366,665,183.08
  5. Step 5: Solve for x
    x = 366,665,183.08/22,096.21
  6. Step 6: Final answer
    x = 16,594.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.