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Finding the Fourth Proportional to 16,284.75, 22,472.96 and 9,211.02

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Solution

The fourth proportional to 16,284.75, 22,472.96 and 9,211.02 is: 12,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.75 : 22,472.96 = 9,211.02 : x
  2. Step 2: Convert to fraction form
    16,284.75/22,472.96 = 9,211.02/x
  3. Step 3: Cross multiply
    16,284.75x = 22,472.96 × 9,211.02
  4. Step 4: Simplify right side
    16,284.75x = 206,998,837.96
  5. Step 5: Solve for x
    x = 206,998,837.96/16,284.75
  6. Step 6: Final answer
    x = 12,711.21

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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.