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Finding the Fourth Proportional to 13,604.67, 20,412.25 and 5,290.54

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Solution

The fourth proportional to 13,604.67, 20,412.25 and 5,290.54 is: 7,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.67 : 20,412.25 = 5,290.54 : x
  2. Step 2: Convert to fraction form
    13,604.67/20,412.25 = 5,290.54/x
  3. Step 3: Cross multiply
    13,604.67x = 20,412.25 × 5,290.54
  4. Step 4: Simplify right side
    13,604.67x = 107,991,760.86
  5. Step 5: Solve for x
    x = 107,991,760.86/13,604.67
  6. Step 6: Final answer
    x = 7,937.84

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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.