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Finding the Fourth Proportional to 13,679.12, 20,504.04 and 9,771.68

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Solution

The fourth proportional to 13,679.12, 20,504.04 and 9,771.68 is: 14,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.12 : 20,504.04 = 9,771.68 : x
  2. Step 2: Convert to fraction form
    13,679.12/20,504.04 = 9,771.68/x
  3. Step 3: Cross multiply
    13,679.12x = 20,504.04 × 9,771.68
  4. Step 4: Simplify right side
    13,679.12x = 200,358,917.59
  5. Step 5: Solve for x
    x = 200,358,917.59/13,679.12
  6. Step 6: Final answer
    x = 14,647.06

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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.