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Finding the Fourth Proportional to 16,099.62, 22,217.94 and 9,026.16

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Solution

The fourth proportional to 16,099.62, 22,217.94 and 9,026.16 is: 12,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.62 : 22,217.94 = 9,026.16 : x
  2. Step 2: Convert to fraction form
    16,099.62/22,217.94 = 9,026.16/x
  3. Step 3: Cross multiply
    16,099.62x = 22,217.94 × 9,026.16
  4. Step 4: Simplify right side
    16,099.62x = 200,542,681.31
  5. Step 5: Solve for x
    x = 200,542,681.31/16,099.62
  6. Step 6: Final answer
    x = 12,456.36

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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.