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Finding the Fourth Proportional to 16,160.14, 22,299.19 and 9,086.41

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Solution

The fourth proportional to 16,160.14, 22,299.19 and 9,086.41 is: 12,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.14 : 22,299.19 = 9,086.41 : x
  2. Step 2: Convert to fraction form
    16,160.14/22,299.19 = 9,086.41/x
  3. Step 3: Cross multiply
    16,160.14x = 22,299.19 × 9,086.41
  4. Step 4: Simplify right side
    16,160.14x = 202,619,583.01
  5. Step 5: Solve for x
    x = 202,619,583.01/16,160.14
  6. Step 6: Final answer
    x = 12,538.23

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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.