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Finding the Fourth Proportional to 13,446.77, 20,170.05 and 3,451.46

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Solution

The fourth proportional to 13,446.77, 20,170.05 and 3,451.46 is: 5,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.77 : 20,170.05 = 3,451.46 : x
  2. Step 2: Convert to fraction form
    13,446.77/20,170.05 = 3,451.46/x
  3. Step 3: Cross multiply
    13,446.77x = 20,170.05 × 3,451.46
  4. Step 4: Simplify right side
    13,446.77x = 69,616,019.92
  5. Step 5: Solve for x
    x = 69,616,019.92/13,446.77
  6. Step 6: Final answer
    x = 5,177.16

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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.