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Finding the Fourth Proportional to 16,265.62, 22,446.30 and 9,191.62

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Solution

The fourth proportional to 16,265.62, 22,446.30 and 9,191.62 is: 12,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.62 : 22,446.30 = 9,191.62 : x
  2. Step 2: Convert to fraction form
    16,265.62/22,446.30 = 9,191.62/x
  3. Step 3: Cross multiply
    16,265.62x = 22,446.30 × 9,191.62
  4. Step 4: Simplify right side
    16,265.62x = 206,317,860.01
  5. Step 5: Solve for x
    x = 206,317,860.01/16,265.62
  6. Step 6: Final answer
    x = 12,684.29

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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.