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Finding the Fourth Proportional to 16,217.28, 22,379.76 and 9,146

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Solution

The fourth proportional to 16,217.28, 22,379.76 and 9,146 is: 12,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.28 : 22,379.76 = 9,146 : x
  2. Step 2: Convert to fraction form
    16,217.28/22,379.76 = 9,146/x
  3. Step 3: Cross multiply
    16,217.28x = 22,379.76 × 9,146
  4. Step 4: Simplify right side
    16,217.28x = 204,685,284.96
  5. Step 5: Solve for x
    x = 204,685,284.96/16,217.28
  6. Step 6: Final answer
    x = 12,621.43

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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.