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Finding the Fourth Proportional to 13,527.89, 20,291.85 and 3,667.17

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Solution

The fourth proportional to 13,527.89, 20,291.85 and 3,667.17 is: 5,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.89 : 20,291.85 = 3,667.17 : x
  2. Step 2: Convert to fraction form
    13,527.89/20,291.85 = 3,667.17/x
  3. Step 3: Cross multiply
    13,527.89x = 20,291.85 × 3,667.17
  4. Step 4: Simplify right side
    13,527.89x = 74,413,739.66
  5. Step 5: Solve for x
    x = 74,413,739.66/13,527.89
  6. Step 6: Final answer
    x = 5,500.76

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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.