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Finding the Fourth Proportional to 16,384.67, 22,604.42 and 10,086.11

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Solution

The fourth proportional to 16,384.67, 22,604.42 and 10,086.11 is: 13,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.67 : 22,604.42 = 10,086.11 : x
  2. Step 2: Convert to fraction form
    16,384.67/22,604.42 = 10,086.11/x
  3. Step 3: Cross multiply
    16,384.67x = 22,604.42 × 10,086.11
  4. Step 4: Simplify right side
    16,384.67x = 227,990,578.80
  5. Step 5: Solve for x
    x = 227,990,578.80/16,384.67
  6. Step 6: Final answer
    x = 13,914.88

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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.