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Finding the Fourth Proportional to 16,197.90, 22,353.16 and 9,124.44

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Solution

The fourth proportional to 16,197.90, 22,353.16 and 9,124.44 is: 12,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.90 : 22,353.16 = 9,124.44 : x
  2. Step 2: Convert to fraction form
    16,197.90/22,353.16 = 9,124.44/x
  3. Step 3: Cross multiply
    16,197.90x = 22,353.16 × 9,124.44
  4. Step 4: Simplify right side
    16,197.90x = 203,960,067.23
  5. Step 5: Solve for x
    x = 203,960,067.23/16,197.90
  6. Step 6: Final answer
    x = 12,591.76

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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.