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Finding the Fourth Proportional to 16,213.50, 22,367.61 and 9,499.41

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Solution

The fourth proportional to 16,213.50, 22,367.61 and 9,499.41 is: 13,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.50 : 22,367.61 = 9,499.41 : x
  2. Step 2: Convert to fraction form
    16,213.50/22,367.61 = 9,499.41/x
  3. Step 3: Cross multiply
    16,213.50x = 22,367.61 × 9,499.41
  4. Step 4: Simplify right side
    16,213.50x = 212,479,098.11
  5. Step 5: Solve for x
    x = 212,479,098.11/16,213.50
  6. Step 6: Final answer
    x = 13,105.07

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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.