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Finding the Fourth Proportional to 13,446.43, 20,162.70 and 6,044.57

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Solution

The fourth proportional to 13,446.43, 20,162.70 and 6,044.57 is: 9,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.43 : 20,162.70 = 6,044.57 : x
  2. Step 2: Convert to fraction form
    13,446.43/20,162.70 = 6,044.57/x
  3. Step 3: Cross multiply
    13,446.43x = 20,162.70 × 6,044.57
  4. Step 4: Simplify right side
    13,446.43x = 121,874,922.75
  5. Step 5: Solve for x
    x = 121,874,922.75/13,446.43
  6. Step 6: Final answer
    x = 9,063.74

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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.