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Finding the Fourth Proportional to 13,636.50, 20,446.35 and 5,306.81

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Solution

The fourth proportional to 13,636.50, 20,446.35 and 5,306.81 is: 7,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.50 : 20,446.35 = 5,306.81 : x
  2. Step 2: Convert to fraction form
    13,636.50/20,446.35 = 5,306.81/x
  3. Step 3: Cross multiply
    13,636.50x = 20,446.35 × 5,306.81
  4. Step 4: Simplify right side
    13,636.50x = 108,504,792.41
  5. Step 5: Solve for x
    x = 108,504,792.41/13,636.50
  6. Step 6: Final answer
    x = 7,956.94

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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.