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Finding the Fourth Proportional to 16,238.22, 22,401.60 and 9,520.44

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Solution

The fourth proportional to 16,238.22, 22,401.60 and 9,520.44 is: 13,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.22 : 22,401.60 = 9,520.44 : x
  2. Step 2: Convert to fraction form
    16,238.22/22,401.60 = 9,520.44/x
  3. Step 3: Cross multiply
    16,238.22x = 22,401.60 × 9,520.44
  4. Step 4: Simplify right side
    16,238.22x = 213,273,088.70
  5. Step 5: Solve for x
    x = 213,273,088.70/16,238.22
  6. Step 6: Final answer
    x = 13,134.02

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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.