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Finding the Fourth Proportional to 16,099.84, 22,218.60 and 9,025.84

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Solution

The fourth proportional to 16,099.84, 22,218.60 and 9,025.84 is: 12,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.84 : 22,218.60 = 9,025.84 : x
  2. Step 2: Convert to fraction form
    16,099.84/22,218.60 = 9,025.84/x
  3. Step 3: Cross multiply
    16,099.84x = 22,218.60 × 9,025.84
  4. Step 4: Simplify right side
    16,099.84x = 200,541,528.62
  5. Step 5: Solve for x
    x = 200,541,528.62/16,099.84
  6. Step 6: Final answer
    x = 12,456.12

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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.