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Finding the Fourth Proportional to 16,286.64, 24,428.24 and 11,055.28

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Solution

The fourth proportional to 16,286.64, 24,428.24 and 11,055.28 is: 16,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.64 : 24,428.24 = 11,055.28 : x
  2. Step 2: Convert to fraction form
    16,286.64/24,428.24 = 11,055.28/x
  3. Step 3: Cross multiply
    16,286.64x = 24,428.24 × 11,055.28
  4. Step 4: Simplify right side
    16,286.64x = 270,061,033.11
  5. Step 5: Solve for x
    x = 270,061,033.11/16,286.64
  6. Step 6: Final answer
    x = 16,581.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.