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Finding the Fourth Proportional to 16,106.57, 22,227.99 and 9,032.44

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Solution

The fourth proportional to 16,106.57, 22,227.99 and 9,032.44 is: 12,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.57 : 22,227.99 = 9,032.44 : x
  2. Step 2: Convert to fraction form
    16,106.57/22,227.99 = 9,032.44/x
  3. Step 3: Cross multiply
    16,106.57x = 22,227.99 × 9,032.44
  4. Step 4: Simplify right side
    16,106.57x = 200,772,874.86
  5. Step 5: Solve for x
    x = 200,772,874.86/16,106.57
  6. Step 6: Final answer
    x = 12,465.28

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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.